Your classmate claims that if you

1 answer:

3 0

SA of a sphere is 4πr² Using a sample of radius 3 the SA would be 36π²
(4πx3²) If we double the radius and make it 6, the SA would be 144π²
So for Surface area, your classmate is correct.

What about the volume? V of a Sphere = 4/3 π r³
Again using 3 the Volume of a Sphere with radius 3 = 4/3 π 27
But the volume of a sphere with radius 6 = 4/3 π 216 which is eight times the volume of the smaller sphere. (27 x 8 =216) So your friend is right about Surface Area but wrong about the volume.

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Height of the woman = 5 ft
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Let us assume the length of the shadow = s
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</span>Then
s/5 = (s + x)/12
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s = (5/7)x
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ds/dt = (5/7)(dx/dt)
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ds/dt = (5/7) * (7/2)
= (5/2)
= 2.5 ft/sec
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