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Exam-Style Question on VolumeA mathematics exam-style question with a worked solution that can be revealed gradually |
Question id: 728. This question is similar to one that appeared on a GCSE Higher paper in 2022. The use of a calculator is allowed.
The photograph shows a horizontal container for water with a uniform cross-section.
The cross-section is a semicircle.
The radius of the semicircle is 65cm and the length of the container is 3m.
(a) Calculate the volume of water in the container when full.
Yesterday the container was partially filled with water. The greatest depth of the water in the container was 50cm.
(b) Calculate the number of litres of water in the container giving your answer correct to the nearest integer.
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