Solve the Problem $\mathrm { I } _ { \mathrm { y } }$

question 294

Multiple Choice

Solve the problem.
-Find the moment of inertia $\mathrm { I } _ { \mathrm { y } }$ of the region of constant density $\delta ( x , y , z ) = 1$ bounded by the paraboloid $z = 64 - x ^ { 2 } - y ^ { 2 }$ and the $x y$ -plane.

• A) \(\frac { 4,259,840 } { 3 } \pi\)
• B) \(\frac { 17,039,360 } { 9 } \pi\)
• C) \(\frac { 532,480 } { 3 } \pi\)
• D) \(\frac { 66,560 } { 3 } \pi\)

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