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Cone or cylinder radius and height scaled: change in volume

This type of question, asked 3 times: 17 Sep 2025 S1, 17 Sep 2025 S3, 26 Sep 2025 S1. All 3 questions below, oldest first.

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  1. Question 1

    17 Sep 2025 S1

    63
    If the height of a cone is tripled and the radius is halved, how does the volume change?

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  2. Question 2

    17 Sep 2025 S3

    63
    The radius of a cone is raised by 20%20\%, while the height is reduced by 10%10\%. What is the percentage change in the volume of the cone?

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  3. Question 3

    26 Sep 2025 S1

    51
    If the radius of a cylinder is halved, what happens to its volume (assuming height remains constant)?

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