Integration Question - Cylinder with Hole

A hole of radius r is bored through the middle of a cylinder of radius Rr at right angles to the axis of the cylinder. Set up, but do not evaluate, an integral for the volume of the cut out

Question

Integration Question - Cylinder with Hole

A hole of radius r is bored through the middle of a cylinder of radius R>r at right angles to the axis of the cylinder. Set up, but do not evaluate, an integral for the volume of the cut out

pottersheep · Answer

I've been stuck on this question for ever...can someone draw me a diagram and explain please?

pottersheep · Answer

Okay, so the picture is supposed to look like this apparently

pottersheep · Answer

http://www.math.yorku.ca/Who/Faculty/Steprans/Courses/2041/IntersectingCylinders1/cylinder1.gif