1. The problem statement, all variables and given/known data Verify Gauss Divergence Theorem ∭∇.F dxdydz=∬F. (N)dA Where the closed surface S is the sphere x^2+y^2+z^2=9 and the vector field F = xz^2i+x^2yj+y^2zk 3. The attempt at a solution I have tried to solve the left hand side which appear to be (972*pi)/5 However, I cant seems to solve the right hand side to get the same answer. I substitute x = 3sin(theta)cos(phi), y=3sin(theta)sin(phi), z=3cos(theta) Therefore N=9sin^2(theta)cos(phi)i+9sin^2(theta)cos(phi)j+9cos(theta) and F = F=27sin(θ)cos^2(θ)cos(φ)+27sin^3(θ)cos^2(φ)sin(φ)+27sin^2(θ)cos(θ)sin^2(φ) then I used ∫(0-2pi)∫(0-pi) F. (N) dθdφ I got the final answer as (324*pi)/5 which does not match with left hand side. Hope anyone can help here plz. Thanks!