An inverted 3-m-high conical container shown in Fig. P14€“93 is initially filled with 2-m-high water. At time t = 0, a faucet is opened to supply water into the container at a rate of 3 L/s. At the same time, a 4-cm-diameter hole with a discharge coefficient of 0.90 at the bottom of the container is opened. Determine how long it will take for the water level in the tank to drop to 1-m.

3 L/s D= 2 m H= 3 m h, = 2 m d= 4 cm C= 0.90