It took me a while to figure this out, but here goes.

The Problem was:

Inside a right circular cone with base radius 5 and height 12 are three congruent spheres, each with radius r. Each sphere is tangent to the other two spheres and also tangent to the base and side of the cone. What is r?

The two images linked below show the solution.
The first is a top view, looking down on the base of the cone.
The second is a side view of one of the spheres, showing how it touches the base and sides of the cone.

ibb.co/tJpkBWt
ibb.co/7kZYNsj

That was fun.

3 answers

No images. Do not want to follow links, because of the danger of spam.
186
I'm sorry, but I need some context to understand what "186" refers to. Can you please provide more information or clarify your question?
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