1. The problem statement, all variables and given/known data i have the region given as being bounded by x2+y2=4 and z=0 and z=3. this problem asks to prove gauss divergence theorem for a given vector F 2. Relevant equations 3. The attempt at a solution As for the volume integral, i had no problem. But for the surface integral, how many surfaces are there actually? How are the normals represented? I assumed it is a cylinder(Is it??).. and i got the normal vectors to the top surface and the bottom surfaces to be k and -k respectively. But these cancel out effectively. The problem here is i dont know how to represent any other surface, if any.. i really do not know to find the others. could you give me an idea on how to go about this ? i mean, finding the surfaces and limits..