SOLUTION: How large of a sphere (diameter) do I need to build to fit 500 ballons inside that are each 6" in diameter when fully inflated?

Question 549687: How large of a sphere (diameter) do I need to build to fit 500 ballons inside that are each 6" in diameter when fully inflated?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
How large of a sphere (diameter) do I need to build to fit 500 ballons inside that are each 6" in diameter when fully inflated?
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If the 500 6" balloons can be packed so that there's no space between them:

r =~ 47.622 inches diameter
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If something else is intended the problem is complex. Packing in 3-space is not simple, even with spheres.

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