Problem #25

This month there are two related problems.

Three cylinders of radius 1 are perpendicular to one another and their axes all pass through the same point. The cylinders are shown separately in the figure below.

The intersection of the two horizontal cylinders is the object shown below. What is its volume?

The intersection of all three cylinders is shown below. Find its volume.

Back to the Advanced Problem Archives

Back to the Math Department Homepage.