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The 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

Posted by Ganga Sharma 6 years ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 6 years ago

Given :

Radius of the right circular cylinder, r = 7 cm

Height of the right circular cylinder = 14 cm

Largest sphere is curved out from the cylinder.

Radius of the sphere = Radius of the right circular cylinder, r = 7 cm

Volume of the sphere = 4/3 × πr³
= 4/3 × 22/7 × 7³

= 4/3 × 22/7 × 7 × 7 × 7

= ( 88 × 49)/3

= 4312/3

= 1437.33 cm³

Hence, Volume of the sphere is 1437.33 cm³

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