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## Homework Statement

I am trying to compute the volume bounded by the sphere x

^{2}+y

^{2}+z

^{2}= 4 and outside the cylinder x

^{2}+y

^{2}=2x.

## Homework Equations

## The Attempt at a Solution

The cylinder's equation is obviously (x-1)

^{2}+y

^{2}=1, but I am not sure how to formulate the integration for the volume. Using cylindrical coordinates, should the formulation be: ∫(θ=0,2π)dθ∫(r=1,2)dr∫(z=0,sqrt(4-r

^{2}))?