Find the mass of a spherical surface S of radius R such that at each point (x, y, z) in S the mass density is equal to the distance of (x, y, z) to some fixed point (x_0, y_0, z_0) in S.
Integral of a scalar function over a surface.
The Attempt at a Solution
I was thinking about converting this into spherical coordinates, but I see no way of doing that nicely since the distance formula would get very messy. I am also assuming they are using the euclidean distance, since this is an intro multivariable course.
I don't need help evaluating, just with getting it set up.
This is from Vector Calculus, 5e. by Marsden and Tromba, 7.5 #9.