A circular concrete culvert with a $3-$ft$-$diamter barrel is laid on a slope of

$0\mathrm{.}003.$ Its inlet has square edges w$/$headwall$.$ For an inlet$-$control condition, determine the

discharge when the HW is:

$(1)1\mathrm{.}5$ ft

$(4)4\mathrm{.}5$ ft

$($Answers: $(1)8\mathrm{.}97$ cfs; $(2)22\mathrm{.}44$ cfs

$(3)43\mathrm{.}13$ cfs; $(4)55\mathrm{.}96$ cfs$)$