A $0\mathrm{.}91$ m diameter corrugated metal pipe culvert $($n$=0\mathrm{.}024)$ has a length of $90$ m and a slope of $0\mathrm{.}0067.$ The entrance has a square edge in a headwall. At the design discharge of $1\mathrm{.}2$ m$^3/$s$,$ the tailwater is $0\mathrm{.}45$ m above the outlet invert. Determine the head on the culvert at the design discharge. Repeat the calculation for head if the culvert is concrete.