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

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July 16, 2021
geometry3D geometryspherecone

Problem Statement

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.
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