A closed thin walled cylindrical vessel has a diameter $\backslash (\backslash$mathbf$\{$D$\}\backslash ),$ a wall thickness $\backslash (\backslash$mathbf$\{$t$\}\backslash )$ of $2\mathrm{.}9$ mm and length $\backslash (\backslash$mathbf$\{$L$\}\backslash )$ of $730$ mm $.$ It is subject to an internal pressure $\backslash (\backslash$mathbf$\{$P$\}\backslash )$ of $45\mathrm{.}0$ MPa causing longitudinal strain, $\backslash (\backslash$varepsilon$\_\{$L$\}\backslash )$ of $0\mathrm{.}003$ in the vessel. Assuming that Youngs modulus is $200\backslash (\backslash$mathrm$\{$GN$\}/\backslash$mathrm$\{$m$\}^\{2\}\backslash )$ and Poisson's ratio is $0\mathrm{.}3,$ calculate the diameter D $.$ Give your answer in mm to $3$ significant figures.