$(1$ point$)$ Use the divergence theorem to evaluate

$I={}_{S}F*NdS$

where $F=($:$x{y}^2,y{z}^2,z{x}^2$:$),$ and $N$ is the the unit outward normal to the surface $S$ given by $x^2+y^2+z^2=4.$

A$.I=2^5(\frac{4}{5})$

B$.I=0$

C$.I=2^5(\frac{2}{5})$

D$.I=2^5(\frac{6}{5})$

E$.I=2^5(\frac{8}{5})$