Find the volume of the solid region which lies inside the sphere x^2 + y^2 + z^2 = 2 and outside the cone z^2 = x^2 + y^2 Set up the integral in rectangular, spherical and cylindrical coordinates and solve using the easiest way.

Question

Find the volume of the solid region which lies inside the sphere x^2 + y^2 + z^2 = 2 and outside the cone z^2 = x^2 + y^2  Set up the integral in rectangular, spherical and cylindrical coordinates and solve using the easiest way.

Any help would be greatly appreciatied!!! :)