Problem 2 . You find a treasure chest with a density of 10,000 % at the bottom of a freshwater lake 50m deep. The chest measures 0.5 m X 03 m x 0.3m. The density of fresh water is 1000 %.. a. If you were to attach the box to a scale like in the figure, how much would it weigh in water? Assume during the measurement the chest is in equilibrium. b. Now you would like to lift the chest (and steal the treasure). You pry the chest off the lake floor, and attach a large, spherical inflatable bag to it (which you can inflate with a compressed air source). Assume the inflated bag has negligible weight. What is the minimum radius the bag should be inflated to so that the chest doesn't sink