SOLUTION: how many complete unit cubes can be put in a sphere of diameter 6 cm

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Question 187704: how many complete unit cubes can be put in a sphere of diameter 6 cm
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
how many complete unit cubes can be put in a sphere of diameter 6 cm
What units? cm?
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The volume of the sphere is
V+=+4%2Api%2Ar%5E3%2F3
V+=+4%2Api%2A27%2F3
V = 36 pi cc = ~113 cc
But the cubes don't conform to the shape of the sphere, making this a difficult problem. I think it's beyond the scope of almost all classes.
Even working in 2 dimensions, putting 1 cm squares inside a 6 cm dia circle is complicated.