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SanuByahut
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The diameter of a metallic sphere is equal to 9 cm. It is melted and drawn into a long wire of diameter 2 mm having uniform cross-section. Find the length of the wire.

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This question is from r d sharma class 10 maths.

I found this question while doing maths class 10. I need help in getting the solution.
In this question we have to find the length of the wire having diameter of a metallic sphere is equal to 9 cm. It is melted and drawn into a long wire of diameter 2 mm having uniform cross-section.

 

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1 Answer

  1. Given,

    Radius of the sphere = 9/2 cm

    So, its volume = 4/3 πr3 = 4/3 π(9/2)3

    And, the radius of the wire = 2 mm = 0.2 cm

    Let the length of the wire = h cm

    So, the volume of wire = πr2h = π(0.2)2h

    Then, according to the question we have

    Volume of wire = Volume of sphere

    π(0.2)2h = 4/3 π(9/2)3

    h = 4 x 729/ (3 x 8 x 0.01) = 12150 cm

    Therefore, the length of the wire = 12150 cm

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