(Solved): The right-circular conical tank shown in the figure below loses water out of a circular hole of ar ...

The right-circular conical tank shown in the figure below loses water out of a circular hole of area A at its bottom. When water leaks through a hole, friction and contraction of the stream near the hole reduce the volume of water leaving the tank per second to cA?2gh, where c (0 < c < 1) is an empirical constant. Determine a differential equation for the height of the water h at time t > 0. The radius of the hole is 90 mm, g = 9.8 m/s², and the friction/contraction factor is c = 0.6. (Assume the removed apex of the cone is of negligible height and volume. Round your numeric value to four decimal places.) out of ction an leaving dh m/s dt er out a hole, fr leaving Need Help? Armitage 3 m Aw Watch It 6 m h circular hole