Geometric Inequality [ILL 1974]
Source:
January 2, 2011
inequalitiesgeometry3D geometrygeometry unsolved
Problem Statement
A straight cone is given inside a rectangular parallelepiped , with the apex at one of the vertices, say , of the parallelepiped, and the base touching the three faces opposite to Its axis lies at the long diagonal through If and are the volumes of the cone and the parallelepiped respectively, prove that