5.1 introduction - american river · figure 5.1.12 find the volume of w. a lumberjack cuts out a...

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Page 1: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

5.1 Introduction

Page 2: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 3: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 4: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 5: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 6: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 7: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 8: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 9: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 10: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 11: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 12: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 13: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 14: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 15: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 16: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 17: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

5.2 The Double Integral Over a Rectangle

Page 18: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 19: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 20: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 21: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 22: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 23: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 24: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 25: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 26: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 27: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 28: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 29: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 30: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 31: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 32: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 33: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 34: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 35: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

5.3 The Double Integral Over More General Regions

Page 36: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 37: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 38: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 39: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 40: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 41: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 42: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 43: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 44: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 45: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 46: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 47: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 48: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 49: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 50: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 51: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 52: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 53: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 54: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 55: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 56: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 57: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 58: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 59: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 60: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 61: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 62: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 63: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 64: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 65: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 66: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 67: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 68: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 69: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 70: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 71: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 72: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

5.4 Changing the Order of Integration

Page 73: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 74: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 75: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 76: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 77: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 78: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 79: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 80: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 81: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 82: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 83: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 84: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 85: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 86: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 87: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 88: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 89: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 90: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 91: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 92: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 93: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 94: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 95: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 96: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 97: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 98: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 99: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 100: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 101: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 102: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 103: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

5.5 The Triple Integral

Page 104: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 105: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 106: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 107: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 108: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 109: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 110: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 111: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 112: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 113: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 114: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 115: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 116: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 117: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 118: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 119: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 120: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 121: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 122: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 123: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 124: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 125: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 126: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 127: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 128: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 129: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 130: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 131: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 132: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 133: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Review Exercises for Chapter 5

Page 134: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 135: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 136: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 137: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 138: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 139: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 140: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 141: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 142: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 143: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 144: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 145: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 146: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 147: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 148: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 149: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 150: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 151: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 152: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 153: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 154: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 155: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 156: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 157: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 158: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 159: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 160: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 161: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 162: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 163: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 164: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 165: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 166: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 167: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 168: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 169: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 170: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 171: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 172: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

Page 173: 5.1 Introduction - American River · figure 5.1.12 Find the volume of W. A lumberjack cuts out a wedge-shaped piece W of a cylindrical tree of radius r obtained by making two saw

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