Q$2.(12$ points$)$ Design a detention basin required to manage stormwater from $100-$yr storm from a $4\mathrm{.}5-$acre property in Wayne County. On the property is a building that is $120-$ft by $90-$ft and a parking lot that is $0\mathrm{.}5-$acre. Outside of the building and parking lot, the soils have moderate infiltration $($sandy loam$)$ and the property has a gentle slope $(2-4\%)$ generally toward the area where the detention basin is to be located. The design should utilize a single orificecontrolled outlet. To receive full credit, provide the following:

a$.$ Volume the detention basin ft$^\{3\}$

b$.$ Diameter of orifice $($in$)$

c$.$ Maximum depth in storage basin $($ ft $)$

d$.$ Maximum outflow rate ft$\}^\{3\}/$sec