If the charge density at an arbitrary point (x,y,z) of a solid E is given by the function ρ(x,y,z), then the total charge inside the solid is defined as the triple integral \(\displays...If the charge density at an arbitrary point (x,y,z) of a solid E is given by the function ρ(x,y,z), then the total charge inside the solid is defined as the triple integral ∭Eρ(x,y,z)dV. Assume that the charge density of the solid E enclosed by the paraboloids x=5−y2−z2 and x=y2+z2−5 is equal to the distance from an arbitrary point of E to the origin.
