Answer
(a) $\frac{dV}{dh} = \frac{1}{3}\pi~r^2$
(b) $\frac{dV}{dr} = \frac{2}{3}\pi~r~h$
Work Step by Step
(a) $V = \frac{1}{3}\pi~r^2~h$
$\frac{dV}{dh} = \frac{1}{3}\pi~r^2$
(b) $V = \frac{1}{3}\pi~r^2~h$
$\frac{dV}{dr} = \frac{2}{3}\pi~r~h$