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# geometry question

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A sphere is inscribed in a cube. What is the ratio of the volume of the inscribed sphere to the volume of the cube? Express your answer as a common fraction in terms of $\pi$.

thatguitarist  Jul 3, 2018
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the diamiter of the sphere will be the length of the side of the cube(lets call it S) thus...

4/3*pi*(1/2s)^3        PI/6

___________   =  _____

s^3                           1

Guest Jul 3, 2018