Question

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: I- o- 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. Thetank 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 level reaches water depth, i.e., dh/dt, when the water 1.22 meters. The volume of a cone is: V-(/3)r h 20 marks] D r

Answer 1

X. 3.0.S 3 3-0S 3.oS 氏 ott en OE χ- 1.22 m. o.oo09ς ..← alt