Solve the Problem $z$ -Axis of a Region of Constant Density $\delta$

Multiple Choice

Solve the problem.
-Find the moment of inertia about the $z$ -axis of a region of constant density $\delta$ enclosed by the paraboloid $z = 16 - x ^ { 2 } - y ^ { 2 }$ and the $x y$ -plane.

A) $\frac { 8 } { 3 } \delta \pi$
B) $\frac { 2048 } { 3 } \delta \pi$
C) $\frac { 128 } { 3 } \delta \pi$
D) $\frac { 32 } { 3 } \delta \pi$