Question

Imagine a hollow sphere of radius R and mass M. It is welded to the end of a solid rod of length L, whose mass is also M. The rod is attached to the sphere in such a way that the whole assembly, when viewed from the side, looks like a lollipop. (That is, the axis of the rod, if extended, would pass through the center of the sphere.) Find the moment of inertia of the assembly about an axis perpendicular to the rod and passing through the rod's other end (the one away from the sphere).