Can I use the divergence theorem to calculate the following:
Find the flux of the vector field out of the closed surface S. S is the boundary of the solid region W. W is the upper hemisphere of radius 3 centered at the origin.
well the divG I got is , which is and this translates to am I right? do I just then multiply this by the volume, which is in this case?
Do you know what dV is in spherical coordinates? Do you recall that the thing you're integrating (the divegrence) is ? Think carefully about these two questions.