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Find the rate of change of the volume V of a sp... - JAMB Mathematics 2001 Question

Find the rate of change of the volume, V of a sphere with respect to its radius, r when r = 1.

A
12π
B
C
24π
D
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Correct Option: B

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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