Problem 1:  A certain rigid aluminum container contains a liquid at a gauge pressure of P0 = 2.02 × 105 Pa at sea level where the atmospheric pressure is Pa = 1.01 × 105 Pa. The volume of the container is V0 = 2.15 × 10-4 m3. The maximum difference between the pressure inside and outside that this particular container can withstand before bursting or imploding is ΔPmax = 2.41 × 105 Pa. For this problem, assume that the density of air maintains a constant value of ρa = 1.20 kg / m3 and that the density of seawater maintains a constant value of ρs = 1025 kg / m3. Part (a)  The container is taken from sea level, where the pressure of air is Pa = 1.01 × 105 Pa, to a higher altitude. What is the maximum height h in meters above the ground that the container can be lifted before bursting? Neglect the changes in temperature and acceleration due to gravity with altitude.  Part (c)  Choose the correct answer from the following options. The depth below the surface of the ocean the container can reach before exploding is less than the altitude in the atmosphere the container can reach before imploding. The depth below the surface of the ocean the container can reach before imploding is less than the altitude in the atmosphere the container can reach before exploding. There is not enough information. The depth below the surface of the ocean the container can reach before imploding is greater than the altitude in the atmosphere the container can reach before exploding. The depth below the surface of the ocean the container can reach before imploding is the same as the altitude in the atmosphere the container can reach before exploding. The depth below the surface of the ocean the container can reach before exploding is the same as the altitude in the atmosphere the container can reach before imploding. The depth below the surface of the ocean the container can reach before exploding is greater than the altitude in the atmosphere the container can reach before imploding. Part (d)  What is the maximum depth dmax in meters below the surface of the ocean that the container can be taken before imploding?