(8 points) The region $2$ lies between the spheres $x^{2}+y^{2}+z^{2}=1$ and $x^{2}+y^{2}+z^{2}=9$ and within the cone $z=\sqrt{x^{2}+y^{2}}$ with $z \geq 0$; its boundary is the closed surface, $S$, oriented outward. Find the flux of $\vec{F}=X^{3} \vec{i}+y^{3} \vec{j}+z^{3} \vec{k}$ out of $S$. CS.VS. 1730 {+3{3{$