d describe the extrema of the quadratic y = -2(x – 3) 2 + 2 a.maximum at (-3, 2) b.minimum at (-3,...
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Math II UNIT QUESTION: What special properties are found with the parts of a circle? Standard: MM2G1, MM2G2 Today’s Question: What effect does changing the radius have on S.A. and Volume of a sphere? Standard: MM2G4.a,bTRANSCRIPT
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D
Describe the extrema of the quadratic y = -2(x – 3)2 + 2
a.Maximum at (-3, 2)
b.Minimum at (-3, 2)
c.Minimum at (3, 2)
d.Maximum at (3, 2)
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For each circle, find the value of x. No decimals. Write answers in simplified fraction or radical form.
1. 2.
3. 4.8
12
x
4 5
x3
12
x6
4x 8
13
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Math IIUNIT QUESTION: What special properties are found with the parts of a circle?Standard: MM2G1, MM2G2
Today’s Question:What effect does changing the radius have on S.A. and Volume of a sphere?Standard: MM2G4.a,b
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r
HEMISPHERE: HALF A SPHERE
Think of the globe! The equator cuts the earth into the northern
and southern hemisphere.
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Formulas for a Sphere2
3
443
SA r
V r
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10 cm
Find the exact and approximate Surface Area & Volume of a Sphere (round to the nearest hundredths)
216.314100 cmSA 3500 523.60 cm
3V
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25 in
The circumference of a great circle of a sphere is 25 inches. Find the approximate surface area & volume of the sphere. (Round to the nearest tenths.)
3.979r 2198.96SA in
3263.88 inV
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5 in
SA and Volume of a SphereA spherical balloon has a surface area of 16 in.2 Find the volume of the sphere.
26.02 inV
10 in
34 3
V rSA4 r2
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5 in
Surface Area & Volume of a SphereA spherical balloon has an initial radius of 5 in. When more air is added, the radius becomes 10 in. Explain how S.A. and Volume change as the radius changes.
10 in
is 8 times biggerV is 4 times biggerSA
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Old Sphere New Sphere
Radius
Surface Area
Volume
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Old Sphere New Sphere
Radius
Surface Area
Volume
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Old Sphere New Sphere
Radius
Surface Area
Volume
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5 in
Volume of a SphereA sphere has an initial volume of 400 cm.3 The sphere is made bigger by making the radius 4 times as big. What is the new volume of the sphere?
325,600 inV
10 in
34 3
V r
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Sphere WorksheetSurface Area and Volume of a Sphere Practice Questions for Classwork
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