2025 AHS PRELIMS P1 Q3
2025 AHS PRELIMS P1 Q3
Secondary 4
4 marks
A closed circular cylinder has a volume of \(\left(66\sqrt{2}+2\sqrt{3}\right)\pi\text{ cm}^3\), a radius of \(\left(\sqrt{2}+2\sqrt{3}\right)\text{ cm}\) and a height \(h\text{ cm}\). Express \(h\) in the form of \(p\sqrt{2}+q\sqrt{3}\) where \(p\) and \(q\) are integers.[4]
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Answer:\(h=9\sqrt{2}-5\sqrt{3}\text{ cm}\), so \(p=9\) and \(q=-5\).
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