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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.
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. (Answer correct to the nearest integer).
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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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