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Sphere Cube (Posted on 2004-02-09) Difficulty: 2 of 5
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In a cube of side 4, I pack eight spheres of unit radius.


What is the largest sphere I can place in the center (such that it doesn't overlap any of the other spheres)?

See The Solution Submitted by SilverKnight    
Rating: 3.0000 (5 votes)

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No Subject | Comment 15 of 16 |

join the centres of all blue spheres so its a cube with sides 2 units.

Now longest diagonal in it  is 2 3 .

so daimeter of red sphere = 2 3 -2.


  Posted by prashant on 2004-03-29 08:00:56
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