Classwork $\backslash$#$2$

$1.$ Sieve analysis result is shown below. What is the percent passing of the soil in No$.40$ sieve?

$\backslash$begin$\{$tabular$\}\{|$r$|$r$|$r$|\}$

$\backslash$hline Sieve No$.$ & Diameter $\backslash ((\backslash$mathrm$\{$mm$\})\backslash )$ & Mass Retained $($grams$),\backslash \backslash$

$\backslash$hline $4\mathrm{.}00$ & $4\mathrm{.}76$ & $18\mathrm{.}950\backslash \backslash$

$\backslash$hline $10\mathrm{.}00$ & $2\mathrm{.}00$ & $33\mathrm{.}180\backslash \backslash$

$\backslash$hline $20\mathrm{.}00$ & $0\mathrm{.}84$ & $45\mathrm{.}030\backslash \backslash$

$\backslash$hline $40\mathrm{.}00$ & $0\mathrm{.}42$ & $54\mathrm{.}510\backslash \backslash$

$\backslash$hline $60\mathrm{.}00$ & $0\mathrm{.}25$ & $42\mathrm{.}660\backslash \backslash$

$\backslash$hline $80\mathrm{.}00$ & $0\mathrm{.}18$ & $11\mathrm{.}850\backslash \backslash$

$\backslash$hline $100\mathrm{.}00$ & $0\mathrm{.}15$ & $4\mathrm{.}740\backslash \backslash$

$\backslash$hline $200\mathrm{.}00$ & $0\mathrm{.}07$ & $4\mathrm{.}740\backslash \backslash$

$\backslash$hline Pan & & $21\mathrm{.}330\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$

$2.$ Compute for the dry density of a soil sample that has a mass of $0\mathrm{.}7$ kg $.$ After drying out, the mass was reduced to $0\mathrm{.}6$ kg and has a volume of $\backslash (3\mathrm{.}5\backslash$times $10^\{\backslash$wedge$\}-4\backslash$mathrm$\{$~m$\}^\{3\}\backslash ).$ The particle specific gravity test gave $2\mathrm{.}6.$ Compute for the dry density in lbs$/$ft$3.$