Consider the sphere and ring of Problem 20. What must the final temperature be if both the ring and the sphere are heated to the same final temperature?

Data From Problem 20

A steel sphere with radius 1.0010 cm at 22.0°C must slip through a brass ring that has an internal radius of 1.0000 cm at the same temperature. To what temperature must the brass ring be heated so that the sphere, still at 22.0°C, can just slip through?