Q$2.$ a$)$ A soil sample has a volume of $50c{m}^3$ and a mass of $100$ g$.$ The specific gravity of the solid particles is $2\mathrm{.}7,$ and the water content of the sample is $20\%.$ The sample is then subjected to saturation are measured for each compaction level. The results are shown in the table below:

Assuming the soil is homogeneous und lsotroplo, tetermlne the dry density, saturated density, and hydraullic conductovity of aoil