A Steel Sphere Sits on Top of an Aluminum Ring $\alpha$

A steel sphere sits on top of an aluminum ring. The steel sphere ( $\alpha$ = 1.10 *10^-5/ $\degree$ C) has a diameter of 4.0000 cm at 0 $\degree$ C. The aluminum ring ( $\alpha$ = 2.40 * 10 ^{- 5}/ $\degree$ C) has an inside diameter of 3.9900 cm at 0 $\degree$ C. Closest to which temperature given will the sphere just fall through the ring?

A) 462 $\degree$ C
B) 193 $\degree$ C
C) 116 $\degree$ C
D) 57.7 $\degree$ C