Problem $5.[16$ pts$]$ The figure below shows the cross$-$sectional dimensions of a thin$-$walled pressurized vessel, where $d_o=16\mathrm{.}00+-0\mathrm{.}01,d_i=15\mathrm{.}95+-0\mathrm{.}01$ inches

$($a$)[4$ pts$]$ Calculate the nominal wall thickness $t.$

$($b$)[4$ pts$]$ Calculate the uncertainty of the wall thickness $u_t$

$($c$)44$ pts