At a depth of 10.9 km, the Challenger Deep in the Marianas Trench of the Pacific Ocean is the deepest site in any ocean. Yet, in 1960, Donald Walsh and Jacques Piccard reached the Challenger Deep in the bathyscaph Trieste. Assuming that seawater has a uniform density of 1024 kg/`m^(3)`, approximate the hydrostatic pressure (in atmospheres) that the Trieste had to withstand. (Even a slight defect in the Trieste structure would have been disastrous.)

Explanation

To calculate the hydrostatic pressure at a depth of 10.9 km in the ocean, we can use the formula for hydrostatic pressure:

\[ P = \rho g h \]

Where:
- \( P \) = hydrostatic pressure (in pascals)
- \( \rho \) = density of seawater (in kg/m³)
- \( g \) = acceleration due to gravity (in m/s²)
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