A soccer ball is packaged in a cubic box with side lengths of 22 cm. Assuming that the ball touches all faces of the box, calculate what percentage of the volume of the box is wasted space?
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If you have a spherical object that just fits in a cubic box, you can do a nice experiment to determine the percentage of the volume of the box that the sphere takes up. In our experiment, we used a number of IncrediBalls, which are packed in cubic boxes. The balls are 11 inches in circumference, and the box has an edge length of 3.5 inches. (On a 4-operation calculator, [11] [/] [3.5] [=] gives 3.1428571, which is a reasonable estimate of , the ratio of the circumference of a circle to its diameter!)
A soccer ball is packaged in a cubic box with side lengths of 22 cm. Assuming that the ball touches all faces of the box, calculate what percentage of the volume of the box is wasted space?
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