A dispenser for holding multiple doses of fluids or other substances, and for dispensing the substances, has a variable volume storage chamber. A filling valve is coupled in fluid communication with the storage chamber and defines (1) a normally closed, fluid-tight position hermetically sealing the storage chamber from the ambient atmosphere, and (2) an open position allowing the passage of fluid through the valve both to evacuate the storage chamber and to introduce fluid through the valve to fill the storage chamber. A dispensing valve is coupled in fluid communication with the storage chamber and defines (1) a normally closed, fluid-tight position preventing the passage of fluid out of the dispenser, and (2) an open position for dispensing fluid therethrough. The sealed, empty dispenser is sterilized, such as by applying gamma radiation thereto. Then, the sterilized, sealed, empty dispenser is filled with fluid by engaging the filling valve with a filling member and introducing fluid from the filling member through the filling valve and into the storage chamber. The fluid in the storage chamber is dispensed through the dispensing valve.