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5

Part of 2001 Portugal MO

Problems(1)

computational, 6 equal spheres around a cone 2001 Portugal p5

Source:

10/13/2020
On a table are a cone, resting on the base, and six equal spheres tangent to the cone. Besides that, each sphere is tangent to the two adjacent spheres. Knowing that the radius RR of the base of the cone is half its height and determine the radius rr of the spheres.
geometry3D geometryspherecone