The inner and outer radii of a hollow cylinder are 15 cm and 20 cm, respectively. The cylinder is melted and recast into a solid cylinder of the same height. Find the radius of the base of new cylinder.

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Solution

Inner radius of hollow cylinder r₁ = 15 cm

Outer radius of hollow cylinder r₂ = 20 cm

The volume of hollow cylinder

Since,

The hollow cylinder is melted and recast into a solid cylinder of same height.

Let r be the radius of solid cylinder.

Therefore,

The volume of solid cylinder = volume of hollow cylinder.

Hence, the radius of solid cylinder is.

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