A brass ring of diameter $10\mathrm{.}00$ cm at $19\mathrm{.}6$C is heated and slipped over an aluminum rod of diameter $10\mathrm{.}01$ cm at $19\mathrm{.}6$C$.$ Assume the average coefficients of linear expansion are constant.

$($a$)$ To what temperature must the combination be cooled to separate the two metals?

$$C

Is that temperature attainable?

YesNo$$

$($b$)$ What if the aluminum rod were $10\mathrm{.}06$ cm in diameter?

$$C