Answer
(a) $\frac{\pi}{4}d^3$
(b) $\frac{3\pi}{2}d^2$
Work Step by Step
(a) Let $h=d$ where $h$ is the height, we have $V=\pi (\frac{d}{2})^2h=\pi (\frac{d}{2})^2d=\pi (\frac{d^3}{4})=\frac{\pi}{4}d^3$
(b) We have $S=2\pi (\frac{d}{2})^2+\pi dh=\frac{\pi}{2}d^2+\pi d^2=\frac{3\pi}{2}d^2$
