Makes for a great home-brew antenna, though.
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Ah, but the can is too low on the radiator for use of the Miller Effect, capacitive end loading aka a top hat. It asserts that a floating impedance element, supplied by two voltage sources connected in series, may be split into two grounded elements with corresponding impedances. That implies an antenna of a radically different design, perhaps the can is insulated from (floating) the radiator and the four grounded elements lowering corresponding impedance by half, the characteristic 50 ohms.
Back when I made beer can antennas using the Budweiser Effect feed-point impedance was calculated using standard means. Unfortunately today's aluminium cans have the same electrical characteristics as steel BUT are difficult to solder and too flimsy to be practical for anything else but containers for carbonated panther piss.