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Raindrop evaporates at a rate proportional to surface area, radius 3 mm to 2 mm: radius at time t

The same question, asked 2 times: 10 May 2023 S2, 9 May 2024 S1. Every wording below, oldest first.

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  1. Question 1

    10 May 2023 S2

    140
    A spherical rain drop evaporates at a rate proportional to its surface area. If initially its radius is 3 mm and after 1 second it is reduced to 2 mm, then at any time t its radius is (where 0≤t<30 \leq t < 3)

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  2. Question 2

    9 May 2024 S1

    145
    A spherical raindrop evaporates at a rate proportional to its surface area. If originally its radius is 3 mm and 1 hour later it reduces to 2 mm, then the expression for the radius R of the raindrop at any time tt is

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