$(20$ points$)$ Problem $1.(20$ points$)$ Problem $1.$ A soil sample has a volume of $1m^3,$ specific gravity of $2\mathrm{.}75,$ void ratio of $0\mathrm{.}8$ and moisture content of $0\mathrm{.}08.$

A$)$ In the $3$ phase diagram, fill in the values for $V_s,V_T,V_v$

B$)$ In the $3$ phase diagram, fill in the values for $W_s,W_w,W_T,$ and $V_w$

C$)$ Find the moist unit weight

D$)$ Find the degree of saturation

E$)$ How much volume of water would you need to add to that soil sample to achieve $S=100\%?$