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mun no of balls to cover cylinder - All-Russian MO 2000 Regional (R4) 11.2

Source:

September 26, 2024
geometry3D geometrycombinatorial geometrygeometric inequalitycylinderSpheres

Problem Statement

The height and radius of the base of the cylinder are equal to 11. What is the smallest number of balls of radius 11 that can cover the entire cylinder?