SOLUTION: A Cube shaped box fits exactly around a soccer ball with a diameter of 22.28 cm. What percent of the box is empty space?

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Question 127918: A Cube shaped box fits exactly around a soccer ball with a diameter of 22.28 cm. What percent of the box is empty space?
Answer by scott8148(5880) About Me  (Show Source):
You can put this solution on YOUR website!
the edge of the cube equals the diameter of the sphere __ let s=length

cube volume __ s^3

sphere volume __ (4/3)(pi)(s/2)^3 __ (1/6)(pi)s^3

% empty space __ 100(1-((1/6)(pi)))