SOLUTION: If a 12cm diameter ball fits snugly into a box, what % of the box is filled by the ball?

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Question 75129: If a 12cm diameter ball fits snugly into a box, what % of the box is filled by the ball?
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
volume of a sphere (ball), where r is the radius, is %284%2F3%29pi%2Ar%5E3 in this case 288pi

volume of a cube (box), where s is the length of an edge, is s%5E3 in this case 1728

Percentage of the box filled by the ball is 288pi%2F1728 or 52.36%