A faulty resonance tube

Classical Mechanics Level 5

A $$3.6 \text{ m}$$ long vertical pipe is filled completely with a liquid. A small hole is drilled at the base of the pipe due to which the liquid starts leaking out. This pipe resonates with a tuning fork. The first two resonances occur when height of water column is $$3.22 \text{ m}$$ and $$2.34 \text{ m}$$ respectively. What is the area of cross-section of the pipe?

Take exact value of $$\pi$$ and state the answer in $$\text{cm}^{2}$$

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