$1)$ A $100$ cubic centimeter $($cm$3)$ sample of soil has an initial weight of $225\mathrm{.}4$ grams. It is oven dried at $105\backslash$deg C to a constant weight of $220\mathrm{.}1$ grams. The sample is then saturated with water and has a weight of $234\mathrm{.}3$ grams. Next, the sample is then allowed to drain by gravity in an environment of $100\%$ humidity and is reweighted at $222\mathrm{.}9$ grams.

Assuming that $1$ cm$3$ of water $=1$ gram at $15\mathrm{.}5\backslash$deg C: a$)$ Calculate the porosity;

b$)$ Calculate the specific yield;

c$)$ Calculate the specific retention;

d$)$ Calculate the void ratio;

e$)$ Calculate the initial moisture content;

f$)$ Calculate the initial degree of saturation.