The diameter of a metallic sphere is 6cm. The sphere is melted and drawn into a wire of uniform cross-section. If the length of the wire is 36m, find its radius.

Explanation

The wire is in the shape of a cylinder.

Here Given, the sphere is melted and a cylindrical wire is formed, their volumes are equal.

Volume of a sphere `=frac{4}{3} pi {r}^{3}`

As the diameter of the sphere is 6 {cm}, its radius {r}=3 {cm}

Volume of a Cylinder `=pi R^{2} h`

Length of the wire h=36 {m}=3600 {cm}

Therefore, Volume of sphere = Volume of the wire


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