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

question 421

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) \(\frac { 32 } { 3 } \delta \pi\)

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