Q$\mathrm{.}2($b$)$ To determine the consistency of a fine grained soil sample B$,$ a cone penetration test was carried out with the following results:

Table Q$\mathrm{.}2($b$)$: Cone penetrometer method test results for Sample B

$\backslash$table$[[$Penetration $(mm),$W$1,$W$2,$W$3],[15\mathrm{.}5,12\mathrm{.}01,17\mathrm{.}30,16\mathrm{.}07],[18\mathrm{.}5,11\mathrm{.}99,17\mathrm{.}70,16\mathrm{.}10],[20\mathrm{.}5,11\mathrm{.}94,18\mathrm{.}89,16\mathrm{.}74],[25\mathrm{.}5,12\mathrm{.}07,19\mathrm{.}20,16\mathrm{.}54]]$

Please submit your answers with graph paper.

Notes: W$1=$ Mass of container $($g$)$

W$2=$ Mass of container and wet soil $($g$)$

W$3=$ Mass of container and soil after over drying $($g$)$

$($i$)$ Determine the liquid limit $($LL$)$ of the fine$-$grained portion of the soil sample by plotting the moisture content $(\%)$ against penetration $(mm)$ based on Table Q$\mathrm{.}2($b$).$

$($ii$)$ If plastic limit for Sample B was found to be $10\%,$ determine the plasticity index $(\frac{?}{PI})$ value.

$($iii$)$ What is the soil description of Sample B from plasticity chart? $($Assuming the $\%$ fines is $100\%)$

$($iv$)$ Determine which soil $($Sample A or Sample B$)$ is more suitable to be used as a fill material for the base of a pavement based on the information you have. Explain your answer.

$($Hint: Soil with ability of absorbing large amounts of water would be unsuitable for the base of a pavement.$)$