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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

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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अध्याय 20: Cylinder, Cone and Sphere - Exercise 20 (G) [पृष्ठ ३१६]

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सेलिना Mathematics [English] Class 10 ICSE
अध्याय 20 Cylinder, Cone and Sphere
Exercise 20 (G) | Q 2 | पृष्ठ ३१६

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