Problem $7(15$ points$).$ A rolled fill of $38,500m^3$ and dry unit weight of $17\mathrm{.}3k\frac{N}{m^3}$ is to be constructed. If the

soil used has a saturation of $49\%$ and $Gs=2\mathrm{.}7$ :

a$)$ What is the total weight of the soil needed?

b$)$ How much water should be added to fully saturate the soil $($after construction$)?$

c$)$ What is the new water content when the soil is saturated?