Question

A solid metallic sphere with diameter 8 cm is melted and recasted into a circular wire. If the length of wire is 12 m, then find the thickness of the wire.

Answer 1

Given,

Diameter of metallic sphere = 8 cm

∴ Radius (R) = \(\frac { 8 }{ 2 }\) = 4 cm

The length of wire recasted (h) = 12 m = 1200 cm

Let the radius of wire recasted be r since, by melting the metallic sphere, the wire is recasted.

∴ Volume of cylindrical wire = Volume of sphere

Hence the thickness of the wire = \(\frac { 8 }{ 15 }\) cm