conical glass of max volume
Source: Spanish Mathematical Olympiad 1974 P2
December 5, 2022
geometrygeometric inequality3D geometry
Problem Statement
In a metallic disk, a circular sector is removed, so that with the remaining can form a conical glass of maximum volume. Calculate, in radians, the angle of the sector that is removed.[hide=original wording]En un disco metalico se quita un sector circular, de modo que con la parte restante se pueda formar un vaso c´onico de volumen maximo. Calcular, en radianes, el angulo del sector que se quita.