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regular pyramid inscribed in a cylinder

Source: 2010 Oral Moscow Geometry Olympiad grades 10-11 p5

May 8, 2020
geometry3D geometrypyramidinscribedcylinder

Problem Statement

All edges of a regular right pyramid are equal to 11, and all vertices lie on the side surface of a (infinite) right circular cylinder of radius RR. Find all possible values of RR.