2025 CHS PRELIMS P1 Q24

2025 CHS PRELIMS P1 Q24

Secondary 4
8 marks
  1. A container is made from a hemisphere and cylinder. The container has a diameter of 12 cm. The container is filled with water such that the total surface area of water in contact with the container is (120pi). Find the volume of water in the container, leaving your answer in terms of (pi).[4]
  2. All the water in the container was poured into a cone with diameter 24 cm and a slant height of 20 cm. The cone was covered and inverted as shown in the diagram below. Calculate the depth, (d), of the empty space.[4]

Solution:

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Answer:(a) \(288\pi\text{ cm}^3\) (b) \(13.7\text{ cm}\)

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