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Deepak Bora
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A copper rod of diameter 2 cm and length 10 cm is drawn into a wire of uniform thickness and length 10 m. Find the thickness of the wire

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This question was asked in 2012 cbse board exam. Question from RS Aggarwal book chapter volume and surface area of solid, page number 810, exercise 17B, problem number 7.

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  1. Given data,

    The radius of the copper rod, R = 2/2 = 1cm

    The height of the copper rod, H = 10 cm

    The height of the wire, h = 10 m = 1000 cm

    Volume of the wire = Volume of the rod

    πr²h = πR²H

    r²h = R²H

    r² * 1000  = 1 * 10

    r² = 1/100

    r = √[ 1/100]

    r = 1/10

    r = 0.1 cm

    Diameter of the wire = 2r

    = 2 * [0.1]

    = 0.2 cm

    ∴ Thickness of the wire = 0.2 cm

    ∴ Thickness of the wire = 2 mm

     

     

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