Question: (a) Find the centroid of a solid right circular cone with height h and base radius a. (Place the cone so that its base is

(a) Find the centroid of a solid right circular cone with height h and base radius a. (Place the cone so that its base is in the xy-plane with center the origin and its axis along the positive z-axis.)
(b) If the cone has density function p(x, y, z) = √x² + y² , find the moment of inertia of the cone about its axis (the z-axis).

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