Question

Please help. :<

f(x, y, z) = 1, and S is the solid region inside the sphere given by x^2+y^2+z^2 = 4 and outside the right circular cylinder given by x^2+y^2 = 1
Find the volume of the region using spherical coordinates.

I have that it should be the volume of the sphere - the volume of the cylinder, but I don't know how to set up the triple integral for the cylinder.