(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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.

2. Relevant equations

Integral of a scalar function over a surface.

3. 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.

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# Surface integral of scalar function

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