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# 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. - CBSE Class 9 - Mathematics

ConceptVolume of a Sphere

#### 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?

#### APPEARS IN

RD Sharma Solution for Mathematics for Class 9 by R D Sharma (2018-19 Session) (2018 to Current)
Chapter 21: Surface Areas and Volume of a Sphere
Ex.21.20 | Q: 13 | Page no. 21
Solution 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.
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