MathDB
IMO LongList 1967, Mongolia 3

Source: IMO LongList 1967, Mongolia 3

December 16, 2004
geometry3D geometrysphereVolumeIMO ShortlistIMO Longlist

Problem Statement

Determine the volume of the body obtained by cutting the ball of radius RR by the trihedron with vertex in the center of that ball, it its dihedral angles are α,β,γ.\alpha, \beta, \gamma.