A large steel wheel is to be fitted on a shaft of the same material

A large steel wheel is to be fitted on a shaft of the same material. At 27°C, the outer diameter of the draft is 8.70 cm and the diameter of the central hole in the wheel is 8.69 cm. The shaft cooled using ‘dry ice’. At what temperature of the shaft does the wheel slip on the shaft ? Assume the coefficient of linear expansion of the steel to be constant over the required temperature range