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Find the volume of the solid inside the cylinder x^2+y^2=2x

and bounded by the sphere x^2+y^2+z^2=4

It appears that cyclindrical is out the question because there is no symmetry about the centre of the cylinder. So only spherical coords are applicable. Any clues?

and bounded by the sphere x^2+y^2+z^2=4

It appears that cyclindrical is out the question because there is no symmetry about the centre of the cylinder. So only spherical coords are applicable. Any clues?

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