A metal-air battery may include a housing, at least one hollow-cylindrical cathode arranged in the housing between an air chamber and an electrolyte chamber, and at least one metallic anode arranged in the electrolyte chamber. The battery may also include an air path leading through the housing from an air inlet to an air outlet of the housing, both of which may be fluidically connected to the air chamber, and an air supply device for generating an air flow following the air path and impinging on the cathode. The battery may further include an electrolyte path leading through the housing from an electrolyte inlet to an electrolyte outlet of the housing, both of which may be fluidically connected to the electrolyte chamber, and an electrolyte supply device for generating an electrolyte flow following the electrolyte path and impinging on the anode and the cathode.