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