MathDB
cylinder is inscribed within a sphere 2014 BMT Individual 13

Source:

January 2, 2022
geometryVolume3D geometryspherecylinder

Problem Statement

A cylinder is inscribed within a sphere of radius 10 such that its volume is almost-half that of the sphere. If almost-half is defined such that the cylinder has volume 12+1250\frac12+\frac{1}{250} times the sphere’s volume, find the sum of all possible heights for the cylinder.