The right circular conical tank shown in the figure below loses water out of a circular hole of area A at its bottom dh 8 ft dt Aw h 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 em constant Determine a differential equation for the height of the water h at time t 0 The radius of the hole is 3 in g 32 ft s2 and the friction contraction factor is c 0 6 Assume t apex of the cone is of negligible height and volume 20 ft circular hole ft s