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Volume numerically equal to k times surface area: find the radius

This type of question, asked 2 times: 17 Sep 2025 S1, 21 Sep 2025 S2. All 2 questions below, oldest first.

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  1. Question 1

    17 Sep 2025 S1

    61
    The volume of a hemisphere is numerically equal to four times its curved surface area. Find its radius.

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  2. Question 2

    21 Sep 2025 S2

    55
    If the numerical value of the volume of a sphere is equal to the numerical value of its surface area, find the radius of the sphere.

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