surface area of cylinders return to table of contents
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Surface Area of Cylinders
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How would you find the surface area of a cylinder?
Notice the length of the rectangle is actually the circumference of the circular base.
Steps1. Find the area of the 2 circular bases.2.Find the area of the curved surface (actually, a rectangle).3. Add the two areas.4. Label answer.
Radius
Curved Side = Circumference of Circular Base
HEIGHT
HEIGHT
Radius
Area of Circles = 2 ( r2 )Area of Curved Surface = Circumference Height = dh
2r2 + dh
2 r2 + 2 rh
-or-
Radius
Curved Side = Circumference of Circular Base
HEIGHT
HEIGHT
Radius
Find the surface area of a cylinder whose height is 14 inches and whose base has a diameter of 16 inches.
14 in
16 in Area of Circles = 2 (r2)
2 (82)
= 2 (64) = 128 = 401.92 in
2
Area of Curved Surface = Circumference Height
= d Height = (16)(14) = 224 = 703.36 in
2
Surface Area = 401.92 + 703.36 = 1105.28 in2
45 Find the surface area of a cylinder whose height is 8 inches and whose base has a diameter of 6 inches.
46 Find the surface area of a cylinder whose height is 14 inches and whose base has a diameter of 16 inches.
47 How much material is needed to make a cylindrical orange juice can that is 15 cm high and has a diameter of 10 cm?
48 Find the surface area of a cylinder with a height of 14 inches and a base radius of 8 inches.
49 A cylindrical feed tank on a farm needs to be painted. The tank has a diameter 7.5 feet and a height of 11 ft. One gallon of paint covers 325 square feet. Do you have enough paint? Explain.
A YesB No