Prove that the volume of a tetrahedron inscribed in a right circular cylinder of volume $1$ does not exceed $\frac{2}{3 \pi}.$
Problem
Source:
Tags: geometry, 3D geometry, tetrahedron, Volume, geometric inequality, IMO Shortlist
Source:
Tags: geometry, 3D geometry, tetrahedron, Volume, geometric inequality, IMO Shortlist
Prove that the volume of a tetrahedron inscribed in a right circular cylinder of volume $1$ does not exceed $\frac{2}{3 \pi}.$