A circular cross$-$section $O$ ring has the dimensions shown in the figure. In particular, an AS $568$A standard No$.2400$ ring has an inside diameter $D_i$ and a cross$-$section diameter $d$ of

$D_i=3\mathrm{.}644+-0\mathrm{.}021in$

$d=0\mathrm{.}145+-0\mathrm{.}0040in$

Estimate the mean outside diameter $\frac{?}{\text{b}\text{a}\text{r}}(D{)}_o$ and its bilateral tolerance. $($Round the final answers to three decimal places.$)$

The mean outside diameter is $$ in$.$

The bilateral tolerance for the mean outside diameter is $$ in$.$