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Cylinder bored through by holes: volume removed or remaining

This type of question, asked 3 times: 13 Sep 2025 S3, 14 Sep 2025 S2, 19 Sep 2025 S3. All 3 questions below, oldest first.

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  1. Question 1

    13 Sep 2025 S3

    74
    A solid cylinder radius 55 cm is drilled by four cylindrical holes each radius 11 cm length equal to the full height. Volume removed is approximately what percent?

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  2. Question 2

    14 Sep 2025 S2

    74
    A cylinder (r = 4 cm, h = 10 cm) is bored through by a hole (r = 2 cm, full height). What percentage of original volume is removed?

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  3. Question 3

    19 Sep 2025 S3

    60
    A solid cylinder has a radius of 5 cm and a height of 10 cm. A smaller cylindrical hole of radius 3 cm is drilled coaxially through its entire length. What is the approximate volume of the remaining solid?

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