Chapter 14.6, Problem 17ES

Use cylindrical or spherical coordinates to evaluate the integral.

${\displaystyle {\int }_0^a{\displaystyle {\int }_0^{\sqrt{a^2-x^2}}{\displaystyle {\int }_0^{a^2-x^2-y^2}{x}^{2}dzdydx\left(a>0\right)}}}$