A fountain contains a 3 m tall cylinder with holes placed at a height of 1 m and 2m. The water level is kept constant at a height of 3 m by an input pipe. As water shoots out from the tube, it strikes the fountain pool at some distance x away from the cylinder. Find x for each of the holes. If both holes are 2 cm in diameter, at what rate must the input pipe supply water.

Question

A fountain contains a 3 m tall cylinder with holes placed at a height of 1 m and 2m.  The water level is kept constant at a height of 3 m by an input pipe.  As water shoots out from the tube, it strikes the fountain pool at some distance x away from the cylinder.  Find x for each of the holes.  If both holes are 2 cm in diameter, at what rate must the input pipe supply water.