Consider a solid object occupying the region bounded by the paraboloid Z H and surface z = H as shown in the diagram. Z 20 (a) Let E be the region of R' occupied by the object. Describe E as a set in cylindrical coordinates. (b) Suppose the mass density of the cone increases linearly in the radial direction such that P = P(T ) = PO ( ) where po is a constant. If the object has total mass M, determine po in terms of M, H, and R. (c) Determine the moment of inertia of this cone in terms of M and R