PYQ Vault
EbooksTutor

Two cones or cylinders: given two ratios (radii, heights, volumes), find the third

This type of question, asked 3 times: 9 Sep 2024 S1, 12 Sep 2024 S2, 26 Sep 2025 S3. All 3 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    9 Sep 2024 S1

    60
    The radii of the two cones are in the ratio of 2:52 : 5 and their volumes are in the ratio of 3:53 : 5. What is the ratio of their heights?

    Tap an option to check your answer.

  2. Question 2

    12 Sep 2024 S2

    69
    Two cylinders have the radii of their bases in the ratio 4:54 : 5 and their heights are in the ratio 5:75 : 7. Find the ratio of their curved surface areas.

    Tap an option to check your answer.

  3. Question 3

    26 Sep 2025 S3

    62
    The volumes of two right circular cylinders have a ratio of 2:3. If the radii of these cylinders are in the ratio of 1:2, what is the ratio of their heights?

    Tap an option to check your answer.