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28 August, 20:05

If a sphere's volume is doubled, what is the corresponding change in its radius?

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  1. 28 August, 20:25
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    Volume of a sphere = (4/3) (pi) (radius) ³

    The sphere's volume is proportional to the cube of its radius,

    so the radius is proportional to the cube-root of the volume.

    The only way to double a sphere's volume is to increase

    its radius by the factor of

    ∛2 = 1.26 (rounded).
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