For any of the following, click evaluate to render the image. It may take a few seconds to load. Once you see the image you may need to click again to be able to resize it by scrolling, or drag around to rotate the image. By right-clicking, you can reset the view to the first octant among other things.
The full picture is below. The path along their intersection is in yellow.
The solid whose volume we compute in this example is given below.