Calculate the flux of $\displaystyle F$ = $\displaystyle (x^3 + y sin z)$i+ $\displaystyle (y^3 + z cos x)$j+ $\displaystyle 3z$kacross the surface of the solid bounded by the hemispheres $\displaystyle z = \sqrt{25-x^2-y^2}$, $\displaystyle z = \sqrt{1-x^2-y^2}$, and plane $\displaystyle z = 0$.