When an acute triangle is rotated about its longest side the resulting volume is 2880π, when it is rotated along its medium side the resulting volume is 3240π, and when it is rotated about its shortest side the resulting volume is ​25920π/7. Find the perimeter of the triangle.

(In reply to re: Solution by broll)

I referred to Perimeter from Double-cones at the beginning of my solution. That problem's solution has more details of the derivation which I felt I did not need to copy/paste since I gave the link. 

Posted by Brian Smith on 2019-10-04 11:53:37