A cylindrical soil specimen is $70$

mm in diameter and $143$

mm long, and in its natural condition weighs $1078$

gr$.$ The void ratio of the specimen is $0\mathrm{.}52$

$.$ Assume Gs$=2\mathrm{.}65,$ g$=9\mathrm{.}8$ kN$/$m$3.$

a$)$ How much is the degree of saturation of the sample? $($in $\%)$

b$)$ How much water $($in grams$)$ must be added to the sample to increase its saturation ratio to Sr$=95\%?$