Question

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

Answer 1

Radius of sphere = 3 cm

Now volume of sphere = 43π(3)343π(3)3

Now sphere is melted and draw into wire

Volume of sphere = Volume of cylinder formed

43π(3)3=πr2×360043π(3)3=πr2×3600

36π=r2x3600π36π=r2x3600π

l=r2x100l=r2x100

r2=1100r2=1100

r=110cm=0.1cmr=110cm=0.1cm