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?
Instead of posting so soon (within a minute of my post!) you should have spent time thinking about what a posted.
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.