A sphere of radius r lies inside a cube and touches each of the six sides of the cube. Calculate the volume of the cube

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Q 3082312237.     A sphere of radius r lies inside a cube and touches each of the six sides of the cube. Calculate the volume of the cube in terms of r.
A

` r ^{ 3 }`

B

`2r ^{ 3 }`

C

`4 r ^{ 3 }`

D

`\frac { 4 }{ 3 } \pi r ^{ 3 }`

E

`8 r ^{ 3 }`

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Solution
(Provided By a Student and Checked/Corrected by EXXAMM.com Team)

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