$[0/5$ Points$]$

Compute the electric charge on the surface which is the portion of the cone $z=\sqrt[\phantom{2}]{3x^2+3y^2}$ in the first octant that lies between the planes $z=3$ and $z=5.$ The charge density on the surface is given by $(x,y,z)=xy{z}^2$ coulombs per square meter.