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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 $\pi$.

 Mar 1, 2021
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volume of the sphere =   4/3 pi r3

Volume of cube          = 2r x 2r x 2r = 8r^3      ratio         4/3 pi r^3 / 8r^3  = pi/6    

 Mar 1, 2021

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