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Pile of Cannonballs (Posted on 2004-08-03) Difficulty: 3 of 5
If one stacks 10 cannonballs of diameter d in a pile (tetrahedron), what is the height of the pile?

No Solution Yet Submitted by ThoughtProvoker    
Rating: 3.0000 (2 votes)

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centers | Comment 7 of 12 |
i forgot to mention the CENTERS of the balls as the vertices of the imaginary tetrahedron.
(it's true that one could pick any point of the balls to create the tetrahedron but the centers just came naturally to me.
i still stand by my answer that based on the formula for the height of a tetrahedron (1/3 x sqrt6 x d), our stack is twice that formula plus d again.
"touché" if i'm wrong.
  Posted by rixar on 2004-08-04 19:17:00
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