Rotor for an electric machine, with at least one rotor shaft which can be rotated about a rotational axis, with at least one laminated core which is connected fixedly to the rotor shaft for conjoint rotation, and with at least one fan impeller which is connected fixedly to the rotor shaft for conjoint rotation, has a plurality of fan impeller blades, and by means of which air for cooling the rotor is to be conveyed, the fan impeller blades bearing directly against an end side of the laminated core, which end side faces the fan impeller blades in the axial direction of the rotor, the fan impeller being tight for the air in the axial direction, the fan impeller having a cover disc which adjoins the fan impeller blades in the axial direction, is tight for the air in the axial direction, and is spaced apart in the axial direction from the end side of the laminated core at least in a region which is arranged on the inner side of the fan impeller blades in the radial direction of the rotor, as a result of which an intermediate space which is delimited in the axial direction at least by way of the cover disc is formed in the region, into which intermediate space the air can be introduced in the axial direction, it being possible for the air to be guided by means of the cover disc from the intermediate space in the radial direction outwards to the fan impeller blades, the fan impeller blades which are spaced apart from one another in the circumferential direction of the fan impeller delimiting respective channels which are arranged between the respective fan impeller blades in the circumferential direction of the fan impeller and can be flowed through by the air, the channels being closed by means of the cover disc in a direction which coincides with the axial direction of the rotor and points away from the end side, and being tight for the air in the axial direction as a result, the respective channel having an individual flow cross section which can be flowed through by the air, the individual flow cross sections of the channels in total forming a total flow cross section which can be flowed through by the air, it being possible for the laminated core to be flowed through by the air which is conveyed by means of the fan impeller, characterized in that the entire laminated core overall has a laminated core flow cross section which can be flowed through by the air conveyed by means of the impeller wheel and corresponds to the total flow cross section. the fan impeller blades bearing directly against an end side of the laminated core, which end side faces the fan impeller blades in the axial direction of the rotor, the fan impeller being tight for the air in the axial direction, the fan impeller having a cover disc which adjoins the fan impeller blades in the axial direction, is tight for the air in the axial direction, and is spaced apart in the axial direction from the end side of the laminated core at least in a region which is arranged on the inner side of the fan impeller blades in the radial direction of the rotor, as a result of which an intermediate space which is delimited in the axial direction at least by way of the cover disc is formed in the region, into which intermediate space the air can be introduced in the axial direction, it being possible for the air to be guided by means of the cover disc from the intermediate space in the radial direction outwards to the fan impeller blades, the fan impeller blades which are spaced apart from one another in the circumferential direction of the fan impeller delimiting respective channels which are arranged between the respective fan impeller blades in the circumferential direction of the fan impeller and can be flowed through by the air, the channels being closed by means of the cover disc in a direction which coincides with the axial direction of the rotor and points away from the end side, and being tight for the air in the axial direction as a result, the respective channel having an individual flow cross section which can be flowed through by the air, the individual flow cross sections of the channels in total forming a total flow cross section which can be flowed through by the air, it being possible for the laminated core to be flowed through by the air which is conveyed by means of the fan impeller, characterized in that the entire laminated core overall has a laminated core flow cross section which can be flowed through by the air conveyed by means of the impeller wheel and corresponds to the total flow cross section.