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21–1. Show that the sum of the moments of inertia of a body, Ixx + Iyy + Izz, is independent of the orientation of the x, y, z axes and thus depends only on the location of the origin.
21–2. Determine the moment of inertia of the cone with respect to a vertical y axis passing through the cone’s center of mass. What is the moment of inertia about a parallel axis y ' that passes through the diameter of the base of the cone? The cone has a mass m.
*21–4. Determine the moments of inertia Ix and Iy of the paraboloid of revolution. The mass of the paraboloid is 20 slug.

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