Mathematics
JAMB 2001
Find the rate of change of the volume, V of a sphere with respect to its radius, r when r = 1.
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A.
12π
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B.
4π
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C.
24π
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D.
8π
Correct Answer: Option B
Explanation
Volume of sphere, V = 4/3 x πr3
Rate of change of V = dv/dr
Thus if V = 4/3 x πr3,
=> dv/dr = 4πr2
At r = 1, Rate = 4 x π x 1 = 4π
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