Question 187704
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*pi*r^3/3}}}
{{{V = 4*pi*27/3}}}
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.