During a sedimentation test for grain size analysis, the corrected hydrometer reading in a $1000$cc

uniformly mixed soil suspension at the instant of starting of sedimentation $($t$=0)$ was $1\mathrm{.}030.$ After $30$min,

the corrected hydrometer reading at an effective depth of $10$cm was noted to be $1\mathrm{.}015.$ If the specific gravity

of soil solids is $2\mathrm{.}65$ and viscosity of water is $0\mathrm{.}01$ dyne$-$s$/$cm$2$

$,$ find $($i$)$ the total weight of soil solids placed

in the $1000$cc suspension, and $($ii$)$ the diameter corresponding to the $30$min reading and the percentage finer