Compute the surface integral where S is the surface of the region enclosed by the cone z = root x2 + y2 and hemisphere x2 + y2 + z2 = 32, where root x2 + y2 z root 32 - x2 y2. N is the outward unit normal to S, and F is the vector field F = xz2 + y, z + x2y, zy2 + 2x .
