$16\mathrm{.}7$: Problem $5$

$(1$ point$)$

Evaluate the surface integral ${\displaystyle \underset{S}{\overset{\phantom{}}{}}}F*dS$ where $F=($:$-5x,-3z,3y$:$)$ and $S$ is the part of the sphere $x^2+y^2+z^2=9$ in the first octant, with orientation toward the origin. ${}_{S}F*dS=$