Use spherical coordinates.
Triple integral SSSE
where E lies between the spheres
x^2 + y^2 + z^2 = 25
x^2 + y^2 + z^2 = 49
in the first octant.

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  1. the two spheres are r=5 and r=7

    recall that the volume element is

    dv = r^2 sinθ dr dθ dØ

    this is easy to check your answer, since you can just directly subtract the inner volume from the outer one.

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