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Question
The largest sphere is carved out of a solid cube of side 21 cm. Find the volume of the sphere.
Solution
The largest sphere that can be carved out of a solid cube of side 21 cm means diameter of sphere will be 21 cm.
Therefore, radius of sphere, r = `21/2` cm
Now, Volume of sphere = `4/3` πr3
= `4/3 xx 22/7 xx (21/2)^3`
= `(4 xx 22 xx 21 xx 21 xx 21)/(7 xx 3 xx 2 xx 2 xx 2)`
= 11 × 21 × 21
= 4851 cm3
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