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

Given: Radius of the solid sphere = 9 cm

Radius of the cylinder = 9 cm

Volume of Solid Sphere is: × π × r³ (here r is radius of the sphere)

Volume of Solid Cylinder is: π × r² × h (here r is radius and h is height of the cylinder)

Let v₁ be the volume of given Solid Sphere.

∴ v₁ = × π × 9³ cm³

Let v₂ be the volume of Solid Cylinder.

∴ v₂ = π × 9² × h

We know that when a object is moulded from one shape to other its volume does not change.

∴ v₁=v₂

That is,

× π × 9³ = π × 9² × h

h = = = 12 cm

∴ h = 12 cm

That is Height of the Cylinder is 12 cm