Five different particle sizes are mixed in proportions shown below and water is added to make the volume of soil suspension exactly equal to $1000cc.$

$\backslash$table$[[$Particle size, mm$,$Weight, g$],[0\mathrm{.}060,5],[0\mathrm{.}020,15],[0\mathrm{.}010,20],[0\mathrm{.}005,4],[0\mathrm{.}001,6]]$

The particles have a specific gravity of $2\mathrm{.}65$ and the dynamic viscosity of water is $8\mathrm{.}95$ millipoises. ${}_v$ can be taken as $1\mathrm{.}0\frac{g}{c}c.$

The soil suspension was thoroughly shaken and sedimentation allowed.

$($i$)$ What is the largest particle size present at a depth of $10cm$ after $8$ minutesof the start of sedimentation?

$($ii$)$ find $\%$ finer corresponding to this size of Particles if observe hydrometric reading $R_h$ at $10cm,24\mathrm{.}5cm$ and $C_C=-5\mathrm{.}5$

$($iii$)$ what is the specific gravity of soil suspension at sampling depth of $10$ cm after $8$ minutes commencement of sedimentation?

$($iv$)$ how long after the start of sedimentation will all particles have settle down below a depth of $10$ cm$?$