A$.$ Results from liquid and plastic limit tests conducted on a soil are given below.

Liquid limit tests Data:

$\backslash$table$[[$Number of blows, N$,$Moisture Content $(\%)],[13,33],[18,27],[29,22]]$

Plastic limit tests: PL obtained: $19\mathrm{.}1\%$

Conduct the following:

i$.$ Draw the flow curve and obtain the liquid limit$.$

$(4$ marks$)$

ii$.$ Determine the plasticity index of the soil.

$(2$ marks$)$

B$.$ The in situ moist unit weight of a soil is $16\mathrm{.}3k\frac{N}{m^3}$ and the moisture content is $15\%.$ The specific gravity of soil solids is $2\mathrm{.}72.$ This soil is to be excavated and transported to a construction site for use in a compacted fill. If the specification calls for the soil to be compacted to a minimum dry unit weight of $18\mathrm{.}5k\frac{N}{m^3}$ at the same moisture content of $15\%,$ how many cubic meters of soil from the excavation site are needed to produce $2400m^3$ of compacted fill?

$(4$ marks$)$