Problem:
A right circular cylinder with its diameter equal to its height is inscribed in a right circular cone. The cone has diameter and altitude , and the axes of the cylinder and cone coincide. Find the radius of the cylinder.
Answer Choices:
A.
B.
C.
D.
E.
Solution:
Let the cylinder have radius and height . Since is similar to , we have
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions