The drinking water needs of an office are met by large water bottles. One end of a 0.6 cm diameter plastic hose is inserted into the bottle placed on a high stand, while the other end with on/off valve is maintained 0.6 m below the bottom of the bottle. If the water level in the bottle is 0.45 m when it is full, determine how long it will take at the minimum to fill a 0.25 L glass (a) when the bottle is first opened and (b) when the bottle is almost empty. Neglect frictional losses.