Real-World Applicationshard
0:00.0

A water reservoir is shaped like a paraboloid of revolution z=r2z = r^2. If the reservoir is being filled at a constant rate dV/dt=10m3/sdV/dt = 10\,m^3/s, what is the rate of change of the water level dz/dtdz/dt when the depth z=4mz = 4\,m?