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A largest sphere is to be carved out of a right circular cylinder of radius 7 cm and height 14 cm. Find the volume of the sphere. - Mathematics

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प्रश्न

A largest sphere is to be carved out of a right circular cylinder of radius 7 cm and height 14 cm. Find the volume of the sphere. 

योग
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उत्तर

Radius of largest sphere that can be formed inside the cylinder should be equal to the radius of the cylinder.

Radius of the largest sphere = 7 cm

Volume of sphere 

= `4/3 pir^3` 

= `4/3 xx 22/7 xx7 xx 7 xx 7` 

= `4312/3` 

= 1437 cm3 

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