Cube with a Sphere Inside : What percentage of this box is empty space?

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A sphere fits exactly inside of a cubical box. (The sphere is tangent to all six faces of the cube). The remaining space inside of the box is filled with coke. What percentage of the box is filled with coke?

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Solution Preview

Assume that the length, width and height of a cubical box are 2x, 2x, and 2x. Then the radius of a sphere is x as well. We ...

Solution Summary

The percentage of empty space of a sphere inside a cube is calculated.

$2.49