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December 24th, 2012, 12:10 PM  #1 
Senior Member Joined: Jun 2011 Posts: 164 Thanks: 0  Spheres, and more spheres!
You have a sphere that is 10ft in diameter and an infinite number of spheres that are 1ft in diameter How many spheres of 1ft in diameter can you fit inside of the sphere that is 10ft in diameter. I do not know the answer to this, I just made this question up on the spot. This is tricky because the gaps between the smaller spheres are making this question a pain. 
December 24th, 2012, 02:25 PM  #2 
Senior Member Joined: Mar 2012 From: Belgium Posts: 654 Thanks: 11  Re: Spheres, and more spheres!
if the small spheres would be fluid you could say the answer would be 1000. but since that's not the case it should be less.According to the Kepler conjecture, the highest average density that can be achieved by a regular lattice arrangement is approximately 74%. so the answer should be somewhere between 730 and 740 

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