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The largest sphere is carved out of a cube of a side 7cm. Find the volume of the sphere.

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The diameter of the largest sphere which can be carved out of a cube of side `7cm \is\ 7cm.`
Radius of the sphere`=>r=7/2cm`
Hence volume of the sphere` =4/3pi xxr^3`
Volume of the sphere,`=4/3xx22/7xx(7/2)^3cm^3`
`=>4/3xx22/7xx343/8=179.66cm^3`
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