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Question
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.
Solution
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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