An apparatus for storing fluid and dispensing multiple portions of a stored fluid therefrom. The apparatus comprises a container defining a variable-volume storage chamber for receiving therein the fluid and a dispensing valve including a valve inlet coupled in fluid communication with the variable volume storage chamber, and a valve member in fluid communication with the valve inlet and defining a normally-closed valve opening. The valve member is responsive to fluid at the valve inlet exceeding a valve opening pressure to move between (i) a normally closed position, and (ii) an open position permitting fluid flow through the valve opening. The dispensing valve defines a dispensing axis defining a direction substantially along which fluid is dispensed from the valve, and further includes an outlet surface over which dispensed fluid flows oriented at an acute angle relative to the dispensing axis for preventing the collection of residual dispensed fluid thereon.