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Question
The largest sphere is carved out of a cube of side 10.5 cm. Find the volume of the sphere.
Solution
The side of cube a = 10.5 cm.
Since, a largest sphere is curved out of that cube
i.e., radius of sphere,
`r = a/2`
`r= (10.5)/2 cm`
`r = 5.25 cm`
The volume of sphere
`= 4/3 pi (5.25)^3`
`=4/3 xx 22/7 xx 5.25 xx 5.25 xx 5.25`
` = 22 xx 0.75 xx 1.75 xx 21`
` = 606.375 cm^3`
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