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1987.10.3

Part of Kyiv City MO 1984-93 - geometry

Problems(1)

n tangent spheres in a right circular cone 1987 Kyiv City MO 10.3

Source:

7/16/2021
In a right circular cone with the radius of the base RR and the height hh are nn spheres of the same radius rr (n≥3n \ge 3). Each ball touches the base of the cone, its side surface and other two balls. Determine rr.
geometry3D geometryspherecone