Posted by cynthia on Thursday, September 4, 2008 at 7:51pm.
You evidently found r from the area using
4 pi r^2 = area = 900
then
volume = (4/3) pi r^3 = (4 pi r^2) (r/3)
= 900 * (r/3)
now
the volume of the box is (2r)^3 if the sphere just fits in the cube
so the percentage= 100 * (volume of sphere/(2r)^3)
100 * (4 pi r^3 /24 r^3)
= 400 pi/24 = 52.4 %
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