A moist sand sample completely fills a $0\mathrm{.}0005m^3$ cylinder weighs $10\mathrm{.}5N.$ Sample was oven$-$dried, and its weight was found to be $8\mathrm{.}49N.$ Determine the following $($use specific gravity of $2\mathrm{.}7)$:

Dry unit weight and moist unit weight

Moisture content for the moist sample

Void Ratio

Weight of water that to be added to the dry sample to achieve $90\%$ saturation

Solution must be using phase diagram. Derived equations are only used to check your answer