Center of mass with triple integral

Calculate the center of mass between $x^2+y^2+z^2=2y$ and $x^2+y^2+z^2=4y$ using a triple integral. The formula for density is given by $f(x,y,z) = (x^2+y^2+z^2)^{1/2}$.

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Integrals
Guido Gonzalez Guido Gonzalez
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Erdos Erdos
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    There was a small mistake in the solution. Please see the corrected solution (second file).

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