Acylindrical tank with height 7, radius 3, and weight 38 lbs is vertically submerged in water, with y(t) the height of the tank above the water. two forces act on the tank, the acceleration due to gravity, 32{ft}{s^2} acting in the opposite direction of y and the buoyancy force by archimedes principle. a. if water weighs 62.4{lbs}{ft^3} then the buoyancy force is b. therefore the differential equation modeling the forces on the tank is ''+=0