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Sphere Pyramid (Posted on 2005-01-19) Difficulty: 3 of 5
You may find the Sphere Cube problem to be similar.

Four identical spheres (like the ones shown in blue in the above cube case) are arranged in a pyramid, such that each sphere is tangent to the other three. If the radius of the four spheres is R, what is the radius r of the largest sphere (such as the one shown in red on the cube picture) that could exist inside the pyramid without overlapping the other spheres?

See The Solution Submitted by nikki    
Rating: 3.5000 (2 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re(2): SolutionDavid Shin2005-01-19 21:14:16
re: SolutionCharlie2005-01-19 18:39:54
SolutionsolutionCharlie2005-01-19 18:35:43
SolutionSolutionDavid Shin2005-01-19 18:31:31
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