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Sphere melted and drawn into a wire of given length: find the wire's diameter

The same question, asked 2 times: CDS 1 2021*, CDS 2 2022. Every wording below, oldest first.

Try each one first, then open its answer.

  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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