Question

A metallic solid sphere of radius 9 cm is melted to form a solid cylinder of radius 9 cm. The height of the cylinder is ______.

Options

• 12 cm

• 18 cm

• 36 cm

• 96 cm

Answer 1

A metallic solid sphere of radius 9 cm is melted to form a solid cylinder of radius 9 cm. The height of the cylinder is 12 cm.

Explanation:

We have,

Radius of the solid sphere, R = 9 cm and

Radius of the solid cylinder, r = 9 cm

Let the height of the cylinder be h.

Now,

Volume of the cylinder = Volume of the sphere

`=> pi"r"^2"h"=4/3pi"R"^3`

`=> "h" = (4"R"^3)/(3"r"^2)`

`=> "h"=(4xx9xx9xx9)/(3xx9xx9)`

∴ h = 12 cm