Compute the flux integral

for the following vector fields and surfaces.

I am probably making a calculation mistake, or couldn't figure out the trigonometry part to evaluate the integral at the end?

F(r) = 3zi+ 2xj+ yk, where the surface S is the upper half of the hemisphere x2+y2+ z2 = 9; the normal direction is upward.

Is there someone with time to tell me the right answer so I can check my work,

appreciated,