A battery includes a cathode having an interior surface and an exterior surface, and defining a cavity and two open ends; a separator disposed adjacent to the interior surface of the cathode; an anode disposed adjacent to the separator and inside the cavity; an air-permeable, liquid-impermeable barrier layer disposed adjacent to the exterior surface of the cathode, and defining an exterior surface of the battery; two end members connected to the open ends of the cathode; and an anode current collector extending through the two end members. Methods designed such a battery is also disclosed.