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Q. 14.2( 198 Votes )

A metallic sphere of radius 4.2 cm is melted and recast into the shape of a cylinder of radius 6 cm. Find the height of the cylinder

Class 10th NCERT - Mathematics 13. Surface Areas and Volumes

Answer :

To find: Height of the cylinder (h)
Given:
Radius (r₁) of sphere = 4.2 cm

Radius (r₂) of cylinder = 6 cm

Let the height of the cylinder be h.

The object formed by recasting the sphere will be the same in volume.

Volume of sphere = Volume of cylinder

Hence, the height of the cylinder = 2.74 cm

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