Your neighbor has circular steel lid for his well. The lid has an outer diameter of $1\mathrm{.}13$ m$.$ The circular well itself has an inside diameter that is $1\mathrm{.}60$ mm smaller. After hearing your professor talking about heat expansion in class, you begin to wonder if it would be possible to cool down the lid enough so that it would fit inside the well $($after which it will quickly expand and block the well very efficiently$).$ To what temperature do you have to cool the lid $($assuming of course that there is a linear relationship all the way to that temperature$)?$ Assume that the well is at room temperature of $20\backslash$deg

C$.$