Q. 5

# The radii of internal and external surface of a hollow spherical shell are 3 cm and 5 cm respectively. It is melted and recast into a solid cylinder of diameter 14 cm. Find the height of the cylinder.

We have,

The internal base radius of spherical shell, r1 = 3 cm,

The external base radius of spherical shell, r2 = 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

πr2h =

πr2h =

r2h =

49 × h = (125−27)

h = × 9849

Therefore,

h =

So, the height of the cylinder is .

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