1. Civil engineers use the continuity equation for many applications. This simple ordinary differential equation states that the difference between (volumetric) rates of inflow and outflow is equal to the rate of change of storage in the system: 1-0 = dS/dt where S is storage or volume and t is time Consider a conical tank with top radius, r = 1.83 meters and height, h = 3.05 meters. The tank is initially empty, and then water is added at a rate of I = 0.00095 m/second. There is no outflow. Determine the instantaneous rate of change of water depth, i.e., dh/dt, when the water level reaches 1.22 meters. The volume of a cone is: V = (T/3)rh [20 marks] D r h