I have this question I've been trying to work out, so I've parametrized the hemisphere just using spherical co-ords and changing it to parametrize the hemisphere. Then just taking the surface integral, but the thing im confused about is, it says the mass density is given by m(x,y,z), so i'm integrating the mass density over the surface and mass density is mass/volume. So the answer to the surface integral will be the mass density of the whole surface right? So to get the mass I just multiply it by the volume of the hemisphere?
I'm just having a discussion with a friend and he thinks it would be multiplied by the area of the surface.