The drinking water needs of an office are met by large water bottles. One end of a .25 in diameter plastic hose is inserted into the bottle placed on a high stand, while the other end with an on/off valve is maintained 2 ft below th bottom of the bottle. If th water level in the bottle is 1.5 ft when it is full, determine how long it will take at the minimum to fill an 8 oz glass (=.00835 ft3) (a) when the bottle is first opened and (b) when th bottle is almost empty. Neglect frictional losses.