The right-circular conical tank shown in the figure below loses water out of a circular hole of area A, at its bottom. dh dt 8 ft = 20 ft 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 CAV2gh, where c (0 << < 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 4 in., g = 32 ft/s2, and the friction/contraction factor is c 0.6. (Assume the removed apex of the cone is of negligible height and volume.) ft/s circular hole

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