$A$ swimming pool has a depth of $22 \ m$ and area $700 \ m^2$. Calculate the fractional change $\frac{\Delta V}{V}$ of water at the bottom of the swimming pool. Given that the bulk modulus of water is $2.2 \times 10^9 \ N \ m^{-2}$, $g = 10 \ m \ s^{-2}$, and the density of water is $1000 \ kg \ m^{-3}$.
- A$2.2 \times 10^{-4}$
- B$0.7 \times 10^{-4}$
- C$0.31 \times 10^{-4}$
- D$10^{-4}$
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