Chapter 5.4, Problem 240E

If the charge density at an arbitraiy point (x, y. z) of a solid E is given by the function $\rho \left(x,y,z\right)$then the total charge inside the solid is defined as the triple integral ${\displaystyle \underset{E}{\iiint }\rho \left(x,y,z\right)}dV$. Assume that the charge density of the solid E enclosed by the paraboloids $x=5-y^2-z^2$ and $x=y^2-z^2-5$is equal to the distance from an aibitraiy point of E to the origin. Set tip the integral that gives the total charge inside the solid E.