Find the moment of inertia of a uniform solid cone about its central axis, which is the axis of symmetry perpendicular to the base. The cone has a base radius $R_{b}$, height $h$, and mass $m$ . Assume the cone is made of aluminum.

Hint: Consider the cone as composed of a stack of infinitesimally thin disks, each having a different radius that decreases linearly from the base to the tip as you move along the height.