A faulty resonance tube

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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