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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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10 balls | Comment 2 of 12 |
the 'corner' balls of the cannonball tetrahedron can be considered the vertices of a tetrahedron with edges of length 2d.
the height of that tetrahedron is then 2/3 x sqrt6 x d.
the height of the cannonball stack adds two radius lengths to that number.
then: (2/3 x sqrt6 x d) + d
  Posted by rixar on 2004-08-03 21:17:38
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