This is not a real pop quiz. You do not have to turn
this in now or ever. This is strictly for your amusement, edification,
and spiritual betterment. Not to be taken internally.
1. [Ellis & Gulick p. 816] Find the volume of the solid region inside
the sphere x2+y2+z2=4, outside the cylinder
x2+y2=1, and above the xy plane.
2. [Ellis & Gulick p. 832] Find the volume of the solid region bounded
above by the circular paraboloid z=4(x2+y2), below
by the plane z=-2, and on the sides by the parabolic sheet y=x2
and the plane y=x.