Calculate $\frac{{}_S}{b}ar(F)*\frac{d}{b}ar(S)$ where

$\frac{?}{\text{b}\text{a}\text{r}}(F)=($:$4x^{3}z,4y^{3}z,3z^4$:$)$

$S$ is the surface of the solid bounded by the hemispheres $z=\sqrt[\phantom{2}]{9-x^2-y^2},z=\sqrt[\phantom{2}]{1-x^2-y^2}$ and the plane $z=0.$

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