Using the Divergence Theorem, set up $($do not integrate$)$ a triple integral equal to the surface integral ${}_{S}F*NdS$ where $S$ is the surface bounded on top by the hemisphere $z=\sqrt[\phantom{2}]{100-x^2-y^2}$ and on bottom by the cone $z=\sqrt[\phantom{2}]{3x^2+3y^2},N$ is the unit outer normal to $S$ and

$F(x,y,z)=(x^3+2x{y}^2+5y^4{z}^2+x)i+(y^{3}4sin(5x)+2y{z}^2-2y)j+(9x^7{y}^3+z^3+2x^{2}z+z)k$