This problem is a generalization of Hypotenuse from Cone.

An acute triangle is rotated about each of its three sides to produce three double-cones of differing volumes.
The three double-cones have volumes of 55440*pi cm^3, 47520*pi cm^3, and 36960*pi cm^3.

Determine the perimeter of the triangle.

(In reply to re: Solution by Brian Smith)

Thanks.  I'll fix my solution.

This is a great idea for a problem by the way.  The original was good but this was a better challenge.

Posted by Jer on 2016-02-24 12:29:36