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.
Try each one first, then open its answer.
Question 1
12 Sep 2025 S3
74A 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?Tap an option to check your answer.
Question 2
23 Sep 2025 S2
56A rectangular fish tank with a base of 100 cm 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?Tap an option to check your answer.
Question 3
24 Sep 2025 S2
55A rectangular aquarium (100 cm L 50 cm W 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?Tap an option to check your answer.