Three Balls in a Hemispherical Bowl

Problem

figure

Three identical balls of radius rr cm rest inside a hemispherical bowl of radius 66 cm: each ball is tangent to the bowl, and the three balls are mutually tangent. The topmost points of the three balls lie exactly in the plane of the bowl's rim. Find rr.

Answer

Solution

Difficulty5/10
Topicssolid geometry, Tangent Circle, Triangle Geometry

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