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Cylinder: a surface area given with radius or height (or h as a multiple of r), find the volume

This type of question, asked 4 times: 15 Nov 2020 Tier II, 29 Jan 2022 Tier II, 8 Aug 2022 Tier II, 6 Mar 2023 Tier II. All 4 questions below, oldest first.

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  1. Question 1

    15 Nov 2020 Tier II

    23
    The curved surface area of a right cylinder is 3696 cm2\text{cm}^2. Its height is three times its radius. What is the capacity (in litres) of the cylinder? (Take π=227\pi = \frac{22}{7})

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  2. Question 2

    29 Jan 2022 Tier II

    93
    The total surface area of a cylinder is 4092 cm2\text{cm}^2 and the diameter of its base is 21 cm. What is 50% volume (in cm3\text{cm}^3) of the cylinder (nearest to an integer)?

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  3. Question 3

    8 Aug 2022 Tier II

    2
    The sum of the curved surface area and total surface area of a solid cylinder is 2068 cm2\text{cm}^2. If radius of its base is 7 cm, then what is the volume of this cylinder? ( use π=22/7\pi = 22/7)

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  4. Question 4

    6 Mar 2023 Tier II

    5
    If the curved surface area of a cylinder is 126π126\pi cm2\text{cm}^2 and its height is 14 cm, what is the volume of the cylinder?

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