Please help me with this calculus problem

Question

The height of a cylinder with a fixed radius of 4 cm is increasing at the rate of 2 cm/min. Find the rate of change of the volume of the cylinder (with respect to time) when the height is 14cm.

Question options:

1)	16π
2)	28π
3)	32π
4)	None of these

Answer 1

The volume V of the cylinder V is

V=16πh

dV/dt = 16π dh/dt

Note that the rate of change of volume is independent of the actual height!