Solve the Problem $r = 2$ And the Planes $z = 0$

Multiple Choice

Solve the problem.
-A solid right circular cylinder is bounded by the cylinder $r = 2$ and the planes $z = 0$ and $z = 3$ . Find the moment of inertia about the $z$ -axis if the density is $\delta = 2 \mathrm { z }$ .

A) $36 \pi$
B) $72 \pi$
C) $48 \pi$
D) $144 \pi$