A sphere with a diameter of 9 units fits exactly in the clear glass cube as shown. A sphere is inside of a cube. The cube has side lengths of 9 units.

Which expression represents the volume, in cubic units, of empty space in the cube?

Four-thirdsπ(4.53) – (4.5)3
(9)3 – Four-thirdsπ(4.52)
Four-thirdsπ(4.53) – (9)3
(9)3 – Four-thirdsπ(4.53)

To find the area of empty space, we can find the volume of both shapes and subtract the volume of the sphere from the volume of the cube. Our given length in this case is 9, so the volume is 9x9x9= 729 cubic units

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