1. ## flux in 3d

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

2. Ok

the solution here
Attachment 11591
Attachment 11592

but there is a mistake (3r+3)r dzdrd(theta) in the integral after I convert it polar the right is (3r^2+3)r dzdrd(theta)