1.

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

Answer»

Volume of a sphere = \(\frac{4}{3}\)πr3
Volume of a cylinder = πr2h

Given,

Diameter of a copper sphere is 18 cm. The sphere is melted and is drawn into a long wire of uniform circular cross-section. The length of the wire is 108 m.

Long wire can be assumed to be a cylinder.

⇒ \(\frac{4}{3}\)π x 9= π x r2 x 10800

⇒ r = 0.6 cm



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