Answer: In 7582, use triple integrals and spherical coordinates. In 7578, find the

Chapter 9, Problem 82

(choose chapter or problem)

In Problems 75-82, use triple integrals and spherical coordinates.

Find the moment of inertia about the z-axis of the solid that is bounded by the sphere \(x^{2}+y^{2}+z^{2}=a^{2}\) if the density at a point P is directly proportional to the distance from the origin.

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