A steel sphere sits on top of an aluminum ring. The steel sphere (α = 1.10 × 10⁻⁵/°C) has a diameter of 4.0000 cm at 0°C. The aluminum ring (α = 2.40 × 10⁻⁵/°C) has an inside diameter of 3.9900 cm at 0°C. Closest to which temperature given will the sphere just fall through the ring?
a) 193°C
b) 116°C
c) 462°C
d) 57.7°C