Example 8-4-1 - Maple Help



Chapter 8: Applications of Triple Integration



Section 8.4: Moments of Inertia (Second Moments)



Example 8.4.1



 If $R$ is the region interior to the cylinder ${x}^{2}+{y}^{2}=9$ that is bounded below by the $\mathrm{xy}$-plane, and above by the paraboloid $z={x}^{2}+{y}^{2}$, and  is the density in $R$, obtain the moments of inertia and the radii of gyration about the Cartesian coordinate-axes. (See Example 8.1.3.)