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Rate of change of the volume of a sphere with respect to its surface area at a given radius

The same question, asked 3 times: 11 May 2023 S1*, 16 May 2023 S2*, 25 Apr 2025 S1. Every wording below, oldest first.

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  1. Question 1

    11 May 2023 S1

    134
    The rate of change of the volume of a sphere with respect to its surface area, when its radius is 2 cm, is

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  2. Question 2

    16 May 2023 S2

    108
    The rate of change of the volume of a sphere with respect to its surface area, when its radius is 2 cm, is ___ cm3/cm2\text{cm}^3/\text{cm}^2.

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  3. Question 3

    25 Apr 2025 S1

    130
    The rate of change of the volume of a sphere with respect to its surface area, when the radius is 5 m is

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