A solid rubber tire with a multiplicity of self-pumping vent holes formed into opposed spaced apart sidewalls of the solid rubber tire. The self-pumping vent holes each extend from the side walls into the solid rubber tire about one-half the spaced apart distance and parallel to the rotation axis of the tire. Each of the multiplicity of self-pumping vent holes has a maximum cross-sectional dimension of between 0.5% and 1.5% of the maximum tire diameter. Any and all parts of the solid rubber material in the tire are at a distance of less than 12% of the original maximum diameter of the tire from any one of the multiplicity of self-pumping vent holes so that heat that may result in the solid rubber tire from its use is dissipated and temperature of the rubber in the tire is reduced by pumping of air into and out of the multiplicity of self-pumping vent holes upon rolling contact with the ground.