Example $4$

A soil sample is prepared by mixing a certain mass of dry soil $($density of solid particles $2,65\frac{g}{c}{m}^3)$ with $10\%$ water by mass. Some of this mixture is used to fill a cylinder, $150$ mm diameter and $125$ mm deep. After compaction the soil still has $4\mathrm{.}0\%$ air voids. Calculate the mass of the mixture in the cylinder, the void ratio and the dry density.