In Example 10.8 on p. 600, the mass moment of inertia of a hemisphere about its axis of...

In Example 10.8 on p. 600, the mass moment of inertia of a hemisphere about its axis of revolution was found to be 2mr²/5. Show that this result is between those for a cylinder and cone, both having radius r and length r (the mass moments of inertia for these are given in the Table of Properties of Solids on the inside back cover of this book). Discuss why this result is expected.

Note: Concept problems are about explanations, not computations.