Consider a cylindrical container that has a radius of \(30.0 \mathrm{~mm}\) and is filled with water to a height of \(0.150 \mathrm{~m}\). If the container is at sea level, what is the pressure 

\((a)\) at the water surface and 

( \(b\) ) at the bottom of the container?

(c) How far above the water surface is the decrease in atmospheric pressure the same as the pressure decrease between the bottom and top of the water? The mass densities of air and water are \(1.20 \mathrm{~kg} / \mathrm{m}^{3}\) and \(1.00 \times 10^{3} \mathrm{~kg} / \mathrm{m}^{3}\), respectively.