Surface Integrals, Stokes & Divergence · Medium problem

Let $E$ be the solid cylinder $x^2 + y^2 \le 1$, $0 \le z \le 2$. Use the divergence theorem to find the outward flux of $\mathbf F = (x, y, z^2)$ through the boundary of $E$ (side, top and bottom). Give an exact answer in terms of $\pi$.