A right cylinder has height h and radius r. It is sliced by a plane that is tangent to one circular base at A and intersects the other at diameter BC. What is the volume of slice ABCD?

Note that BO=CO=DO=r, AD=h, BC is perpendicular to DO, and AD is perpendicular to DO.

Technically, "ABCD" defines a pyramid, but what is meant in this problem is a section of the cylindar.  The points ABC define a plane, and that plane cuts the cylindar into 2 unequal sections.

Posted by Larry on 2005-11-28 01:20:09