Find

$\begin{array}{r}{\int }_S \mathbf{F}(x,y,z)\cdot \mathbf{n}dS\text{if}\\ \mathbf{F}(x,y,z)=2xz\mathbf{i}+2yz\mathbf{j}-18\mathbf{k}\end{array}$

and S is the portion of the hyperboloid $x^2+y^2-9=z^2$that lies between the planes

z = −4 and z = 0, with n pointing outwards.

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