NOVELTY - Rechargeable battery (B1) comprises: hollow cylindrical positive electrode comprising nickel hydroxide; gelled negative electrode comprising at least one of zinc or zinc compound; separator interposed between interior surface of hollow cylindrical positive electrode and gelled negative electrode; negative electrode current collector (50) in negative electrode; battery can (20) housing positive and negative electrodes, separator and negative electrode current collector, where battery can comprises first end that is open and second end; and positive cap fixed to second end of battery can.    USE - The rechargeable battery is useful in electric vehicles, plug-in hybrid electric vehicles, and consumer electronics.    ADVANTAGE - The rechargeable battery is capable of 25-1000 cycles from a fully charge state to a fully discharged state at a discharge rate of greater than or equal to 0.5C (claimed).    DETAILED DESCRIPTION - INDEPENDENT CLAIMS are also included for:    (1) a rechargeable battery (B2) comprising a hollow cylindrical positive electrode comprising nickel hydroxide and/or nickel oxyhydroxide, and cobalt metal and/or a cobalt compound, a gelled negative electrode comprising 0-30 wt.% of zinc, 65-100 wt.% of zinc oxide, a gelling agent, alkaline electrolyte, and optionally at least one of carbon, cellulose, titanium nitride or alumina, a tubular separator interposed between the hollow cylindrical positive electrode and the gelled negative electrode, and a negative electrode current collector in the gelled negative electrode; and    (2) making a rechargeable battery assembly (40), comprising introducing the hollow cylindrical positive electrode comprising nickel hydroxide into the can, introducing a separator tube, into the hollow of the hollow cylindrical positive electrode, introducing the gelled negative electrode having at least one of zinc or zinc compound into the separator tube, and inserting the negative electrode current collector inserted into the gelled negative electrode.    DESCRIPTION OF DRAWING(S) - The figure shows a schematic view of the method of manufacturing batteries.    Annular pellets (10)    Can (20)    Assembly (40)    Current collector (50)    Closure (60)