Find the rate of change of the volume, V of a sphere with respect to its radius, r when r = 1.
- 12π
-
4π
- 24π
- 8π
The correct answer is: B
Explanation
Volume of sphere, V = 4/3 x πr3Rate 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
There is an explanation video available .