changing order of integration in spherical coordinates
I'm teaching myself a bit of calculus and I'm having trouble with this:
Let D be the region bounded below by the plane z=0, above by the sphere x^2 + y^2 + z^2 = 4, and on the sides by the cylinder x^2 + y^2 = 1. Set up the triple integral in spherical coordinates that gives the volume of D using the order of integration .
The solution says that D is:
But I thought it should be:
Could you please tell me where I'm going wrong?