The right-circular conical tank shown in the figure below loses water out of a circular hole of area A₁ at its bottom. 8

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The Right Circular Conical Tank Shown In The Figure Below Loses Water Out Of A Circular Hole Of Area A At Its Bottom 8 1 (152.17 KiB) Viewed 15 times

The right-circular conical tank shown in the figure below loses water out of a circular hole of area A₁ at its bottom. 8 ft Aw 20 ft h circular hole 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 6 in., g = 32 ft/s², and the friction/contraction factor is c = 0.6. (Assume the remove apex of the cone is of negligible height and volume.) dh ft/s dt ||