A solid copper sphere of surface area 1386 cm sq. is melted and drawn into a wire of uniform cross section . If the lenght of the wire is 31.5 m , find the diameter of wire !!

Hi Afzal!

Here is the answer to your question.

Let

*r*be the radius of the copper sphere.Let R be the radius of the wire.

Length of the wire, H = 31.5 m

Given that surface area of the copper sphere is 1386 sq cm

∴ 4Π

*r*^{2}= 1386 sq cmThe sphere is recasted to form the wire.

Thus, volume of the wire formed = Volume of the solid sphere

Thus, the diameter of the wire is 2 × 0.7 cm = 1.4c m

Hope! This will help you.

Cheers!

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