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Question

Teh diameter of a sphere is 6 cm. It is melted and drawn into a wire of diameter 0.2 cm. Find the length of the wire.

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Solution

Diameter of a sphere =6cmRadius(r)=62=3cmVolume=43πr3=43π(3)3cm343×π×3×3×3=36πcm3
Diameter of wire drawn = 0.2 cm
Radius (r1)=0.1cm=110cm
Let Length of wire = h
(110)2h=361100h=36h=36×100=3600cm=3600100m=36mLength of wire=36m


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