Q. 184.0( 13 Votes )

The diameters of the internal and external surfaces of a hollow spherical shell are 6 cm and 10 cm respectively. If it is melted and recast into a solid cylinder of diameter 14 cm, find the height of the cylinder.

Answer :

Internal radius of the hollow spherical shell = 6/2 = 3cm

And external radius of that shell = 10/2 = 5cm

Radius of the cylinder = 14/2 = 7

Let height of the cylinder be x cm

According to the question,

Volume of the cylinder = volume of the spherical shell

height of cylinder = cm

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