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Cylinder or cone radius and height scaled: new volume or percent change

This type of question, asked 3 times: 15 Nov 2020 Tier II, 3 Feb 2022 Tier II, 8 Aug 2022 Tier II. All 3 questions below, oldest first.

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  1. Question 1

    15 Nov 2020 Tier II

    82
    If the radius of the base of a right circular cylinder is increased by 20% and the height is decreased by 30%, then what is the percentage increase/decrease in the volume?

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  2. Question 2

    3 Feb 2022 Tier II

    91
    The curved surface area of a right circular cone is 2310 cm2\text{cm}^2 and its radius is 21 cm. If its radius is increased by 100% and height is reduced by 50%, then its capacity (in litres) will be (correct to one decimal place): (Take π=227\pi = \frac{22}{7})

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  3. Question 3

    8 Aug 2022 Tier II

    79
    Volume of a cone whose radius of a base and height are r and h respectively, is 400 cm3400\ \text{cm}^3. What will be the volume of a cone whose radius of base and height are 2r cm and h cm respectively?

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