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Solution for 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

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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
Q: 16 | Page no. 20
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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