Find the rate of change of the volume, V of a sphere with respect to its radius, r when r = 1.
The correct answer is: B
Explanation
Volume of sphere, V = 4/3 x Οr3Rate of change of V = dv/dr
Thus if V = 4/3 x Οr3,
=> dv/dr = 4Οr2
At r = 1, Rate = 4 x Ο x 1 = 4Ο
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