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Solid immersed in water in a container: rise in level or container radius

This type of question, asked 3 times: 12 Sep 2025 S3, 23 Sep 2025 S2, 24 Sep 2025 S2. All 3 questions below, oldest first.

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  1. Question 1

    12 Sep 2025 S3

    74
    A vertical cylindrical container is filled with oil. A solid hemispherical stone of radius 7 cm is immersed completely, and the oil level rises by 3 cm. What is the radius of the cylinder?

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  2. Question 2

    23 Sep 2025 S2

    56
    A rectangular fish tank with a base of 100 cm ×\times 50 cm contains water up to a height of 20 cm. If 5 identical spherical stones, each with a radius of 5 cm, are dropped into the tank and fully submerged, what is the rise in the water level?

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  3. Question 3

    24 Sep 2025 S2

    55
    A rectangular aquarium (100 cm L ×\times 50 cm W ×\times 60 cm H) contains water with an initial level of 20 cm. 10 identical metal spheres, each with a diameter of 10 cm, are gently lowered into the aquarium. Assuming the spheres are fully submerged, what is the rise in the water level?

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