The diameter of a copper sphere is 18 cm. It is melted and drawn into a long wire of uniform cross section. If the length of the wire is 108 m, find its diameter.

Given,


Radius of sphere = 9cm


Let us consider diameter at cylinder = d cm


Radius = r cm


Height = 108 m = 10800 cm


When we convert any object into another shape the volume will remain same.


Volume of sphere = volume of cylinder






r2 = 0.09


r = 0.03 cm


Diameter = 2 × 0.03 = 0.06 cm


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