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Largest volume of a cone or cylinder with a fixed slant height or h^2 + r^2

This type of question, asked 2 times: May 2021 S1, 19 May 2026 S2. All 2 questions below, oldest first.

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  1. Question 1

    May 2021 S1

    138
    The slant height of a right circular cone is 3 cm. The height of the cone for maximum volume is

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  2. Question 2

    19 May 2026 S2

    74
    The maximum volume (in cubic units) of a right circular cylinder for which the sum of the square of its height and the square of its radius of base 4848, is

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