SCalcET$915\mathrm{.}8\mathrm{.}0$

Use spherical coordinates.

Evaluate ${}_E\sqrt[\phantom{2}]{x^2{y}^2{z}^2}dV,$ where $E$ lies above the cone $z=\sqrt[\phantom{2}]{x^2{y}^2}$ and between the spheres $x^2{y}^2{z}^2=1$ and $x^2{y}^2{z}^2=16.$