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Math·Geometry and Trigonometry·Area and volume
hard
A cube has an edge length of inches. A solid sphere with a radius of inches is inside the cube, such that the sphere touches the center of each face of the cube. To the nearest cubic inch, what is the volume of the space in the cube not taken up by the sphere?
A
262,672
B
288,532
C
334,846
D
546,087