Question: A solid trough of constant density is bounded below by the surface z = 4y 2 , above by the plane z = 4, and

A solid “trough” of constant density is bounded below by the surface z = 4y², above by the plane z = 4, and on the ends by the planes x = 1 and x = -1. Find the center of mass and the moments of inertia with respect to the three axes.

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