$(25$ point$)$ Problem $2.$ You are tasked with constructing a rolled fill with a total volume of $35,000m^3.$ The borrow that you will use has soil with $w=5\%,$

bulk unit weight $=19\mathrm{.}1k\frac{N}{m^3}$; Gs$=2\mathrm{.}75.$ The trucks that will move the soil have a capacity of $4\mathrm{.}80m^3.$ The compaction specification of your construction

project are $w=18\%$ and dry unit weight $=17\mathrm{.}3k\frac{N}{m^3}.$

a$)(9$ points$)$ Assuming that each load is at full capacity, how many truckloads are required to construct the fill? The density of the soil in the truck is the

same as the density of the soi in the borrow.

b$)(8$ points$)$ What should be the volume of the pit that remains in the borrow area, after all the material required from the fill has been removed?

c$)(8$ points$)$ How many liters of water will have to be added per truck load, assuming that the moisture lost by evaporation, hauling, and excavation is

negligible?