Use the Divergence Theorem to calculate the flux of F (x,y,z)= (x^3,y^3,-3z^2) through the boundary of the solid T given by x^2+y^2≤4 and 0≤z≤2. Assuming F is the velocity field of a fluid is the net flow inside or outside solid T?

I find the flux to equal zero. Is that correct?

Thank you for your help