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Tetrahedral Dilemma (Posted on 2004-06-23) Difficulty: 4 of 5
Suppose you have a sphere of radius R and you have four planes that are all tangent to the sphere such that they form an arbitrary tetrahedron (it can be irregular). What is the ratio of the surface area of the tetrahedron to its volume?

See The Solution Submitted by SilverKnight    
Rating: 4.5000 (2 votes)

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Answer Comment 8 of 8 |
The required ratio is 3:R.
  Posted by K Sengupta on 2009-01-09 11:58:33
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