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4. 2.2 cubic dm of brass is to be drawn into a cylindrical wire of 0.25 cm in diameter. Find the length of the wire.

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Class 10th Cbse, RD Sharma.

Surface area and volumes

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  1. Solution:

    Given,

    2.2 dm3 of brass is to be drawn into a cylindrical wire of Diameter = 0.25 cm

    So, the radius of the wire (r) = d/2

    = 0.25/2 = 0.125*10-2 cm

    Now, 1 cm = 0.01 m

    So, 0.1cm = 0.001 m

    Let the length of the wire be (h)

    We know that,

    The volume of the cylinder = πr2h

    It’s understood that,

    The volume of cylindrical wire = The volume of brass of 2.2 dm3

    R D Sharma Solutions For Class 10 Maths Chapter 16 Surface Areas And Volumes ex 16.1 - 2

    h = 448 m

    Therefore, the length of the cylindrical wire drawn is 448 m.

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