IMO Shortlist 1967 problem 3
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arhiva2. travnja 2012. Determine the volume of the body obtained by cutting the ball of radius
![R](/media/m/4/d/7/4d76ce566584cfe8ff88e5f3e8b8e823.png)
by the trihedron with vertex in the center of that ball, it its dihedral angles are
%V0
Determine the volume of the body obtained by cutting the ball of radius $R$ by the trihedron with vertex in the center of that ball, it its dihedral angles are $\alpha, \beta, \gamma.$
Izvor: Međunarodna matematička olimpijada, shortlist 1967