Question

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)

Answer 1

The expression that represents the volume of the empty space is 9³ - 4/3π(4.5)³

How to determine the volume of the empty space?

The cube box has a side length of 9.

So, the volume of the box is:

V = 9³

The sphere has a radius of 4.5.

So, the volume of the sphere is:

v = 4/3π(4.5)³

Calculate the difference between both volumes:

d = 9³ - 4/3π(4.5)³

Hence, the expression that represents the volume of the empty space is 9³ - 4/3π(4.5)³

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