Chapter 14.7, Problem 13E

To determine

To graph: The solid region whose volume is given by iterated integral ${\displaystyle {\int }_0^{2\pi }{\displaystyle {\int }_{\frac{\pi }{6}}^{\frac{\pi }{2}}{\displaystyle {\int }_0^4{\rho }^2\sin \varphi d\rho }d\varphi }d\theta }$ and to evaluate the integral.