A closed circular cylinder has a volume of $ \left(66\sqrt{2} + 2\sqrt{3} \right)\pi$ cm$^3$, a

Question

A closed circular cylinder has a volume of $ \left(66\sqrt{2} + 2\sqrt{3} \right)\pi$ cm$^3$, a radius of $ \left(\sqrt{2} + 2\sqrt{3} \right)$ cm and a height $h$ cm. Express $h$ in the form of $p\sqrt{2} + q\sqrt{3}$ where $p$ and $q$ are integers.[4]

Accepted Answer

p = 9, q = -5

2025 AHS PRELIMS P1 Q3

2025 AHS PRELIMS P1 Q3