Deepak Bora
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The radius of a sphere is 9 cm. It is melted and drawn into a wire of diameter 2 mm. Find the length of the wire in metres.

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An Important Question of class 10 Based on Mensuration Chapter of M.L Aggarwal for ICSE BOARD.
The radius of a sphere is given in this question. It is melted and drawn into a wire of diameter 2 mm. Find the length of the wire in metres.
This is the Question Number 02, Exercise 17.5 of M.L Aggarwal.

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  1. Radius of the sphere, r = 9 cm

    Volume of the sphere, V = (4/3)r3

    = (4/3)××93

    = 12××81

    = 972 cm3

    Diameter of the wire = 2 mm

    So radius of the wire = 2/2 = 1 mm = 0.1 cm

    Since the sphere is melted and drawn into a wire, volume remains the same.

    Volume of the wire, r2h = 972

    ×0.12 ×h =972

    h = 972/0.12

    h = 972/0.01

    h = 97200 cm

    h = 972 m

    Hence the length of the wire is 972 m.

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