Problem 6 (18 Points) Charge lies on the surface described by $\rho = 2$m, $0 \le z \le 2$m with nonuniform surface charge density $\rho_s = z \sin^2 \phi$ C/m$^2$.
(1) Draw the charge on a proper three-dimensional coordinate.
(2) Determine the vector $\vec{E}$ at (0, 0, 5).