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If a sphere is inscribed in a cube, fi...

If a sphere is inscribed in a cube, find the ratio of the volume of cube to the volume of the sphere.

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Volume of cube `(V_(1)) = ("Side")^(3)`
Radius of sphere `(r) = ("Side")/(2)`
Volume of sphere `(V_(1)) = (4)/(3) pi (("Side")/(2))^(3) = (4)/( 3) pi xx (("Side")^(3))/(8)`
`therefore" "(V_(1))/(V_(2)) = (("Side")^(3))/((4)/(3)pi (("side"))/(8))= (6)/(pi) or 6 :pi`
Hence, the raatio of the volume of a cylinder of the cube to the volume of the sphere is `6 : pi`.
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