The diameter of a metallic sphere is 60 m. The sphere is melted and drawn into a wire of uniform
cross-section, if the length of the wire is 36 m, find its radius.
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Answer:
The metallic sphere is Maybe 6m not 60
The wire is in the shape of a cylinder.
Since the sphere is melted and a cylindrical wire is formed, their volumes are equal.
Volume of a sphere =34πr3
As the diameter of the sphere is 6 cm, its radius r=3 cm
Volume of a Cylinder =πR2h
Length of the wire h=36m=3600cm
Hence, Volume of sphere = Volume of the wire
34πr3=πR2h
R2=1001
R=101=0.1cm
Hence, radius of the cross-section of the wire =0.1cm
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