#### Question

The diameter of a coper 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.

#### Solution

Given that diameter of a coper sphere = 18cm.

Radius of the sphere = 9cm

Length of the wire = 108m

= 10,800cm

Volume of cylinder = volume of sphere

⇒ `πr_1^2h=4/3πr_2^3`

⇒`r_1^2xx10800=4/3xx9xx9xx9⇒r_1^2=0.09`

∴Diameter =2 ×0.3=0.6cm

Is there an error in this question or solution?

Solution for question: The Diameter of a Coper 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. concept: Volume of a Sphere. For the course CBSE