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cylindrical glass with water (II Soros Olympiad 1995-96 R1 11.2)

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June 3, 2024
geometry3D geometry

Problem Statement

A cylindrical glass filled to the brim with water stands on a horizontal plane. The height of the glass is 22 times the diameter of the base. At what angle must the glass be tilted from the vertical so that exactly 1/31/3 of the water it contains pours out?