Use proper calculus. (a) A conical shell has mass M, height h,
and base radius R, Assume it is made from thin sheet of uniform
thickness, Derive its center of mass and moment of inertia about
its symmetry axis. (b) Derive the formula for the center of mass
and the moment of inertia of a solid sphere, and then that of the
moment of inertia about an axis tangent to the surface. (c) Derive
the formula for the moment of...