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Given vector field: A = xi + yj + zk

Use the divergence theorem to calculate the flux of A out of V through the spherical cap on the cylinder.

Really stuck!

Could someone please give me tips on how to answer these sort of questions? I get really stuck, like firstly replacing dS in the surface integral, and what equations to use, etc. I couldn't even get going with this one, my only idea was just calculating the flux through the upper half sphere ... how does the cylinder equation come into it?

Thanks