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Sphere melted and drawn into a wire: diameter or length of the wire

This type of question, asked 3 times: CDS 1 2021, CDS 2 2022, CDS 1 2026. All 3 questions below, oldest first.

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  1. Question 1

    CDS 1 2021

    62
    A solid sphere of diameter 60 mm is melted to stretch into a wire of length 144 cm. What is the diameter of the wire?

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  2. Question 2

    CDS 2 2022

    80
    The diameter of a sphere made of copper is 3 cm. The sphere is melted and recast into a wire. If the length of the wire is half metre, then what is the diameter of the wire ?

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  3. Question 3

    CDS 1 2026

    61
    The diameter of a copper solid sphere is 6 cm. The sphere is melted and recast into a wire. If the diameter of the wire is 0.5 cm, then what is the length of the wire ?

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