When water leaks through a hole, friction and contraction of the stream near the hole reduce the volume of water leaving the tan
k per second to cAh 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 removed apex of the cone is of negligible height and volume.)
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When I did this equation I didn’t get any of these following answer choices, I apologize… Maybe the question was worded incorrectly? Please do let me know more info in the comments underneath this answer for I truly wish to help you out here :)
(P.S my work is shown below)
(P.S my work is shown below)