Q. 53.6( 7 Votes )

Answer :

We have,

The internal base radius of spherical shell, r_{1} = 3 cm,

The external base radius of spherical shell, r_{2} = 5 cm and

The base radius of solid cylinder, r = 7 cm

Let the height of the cylinder be h

As,

The hollow spherical shell is melted into a solid cylinder;

So,

Volume of solid cylinder = Volume of spherical shell

⇒ πr^{2}h =

⇒ πr^{2}h =

⇒ r^{2}h =

⇒ 49 × h = (125−27)

⇒ h = × 9849

Therefore,

h =

So, the height of the cylinder is .

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