Cut a sphere by a plane in such a way that the volumes of the spherical segments have a given ratio.
Archimedes' Problem
See also
Archimedes' Hat-Box Theorem, Spherical SegmentExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Archimedes' Problem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ArchimedesProblem.html