Can you show step by step and explain each step with the solid working. Explain the formula used and also the relationship if the formulas applied for it$.$ State the symbol or representative word with the full name of it so it makes it clear. Thank you

A$)$

A soil sample is found to have a bulk density of $1\mathrm{.}8M\frac{g}{m^3}$ and a water

content of $15\%.$ If the specific gravity of the soil particles is $2\mathrm{.}65,$ determine

$($i$)$ the dry density, $($ii$)$ the porosity, $($iii$)$ the void ratio and $($iv$)$ the air void

content. Start your solution by drawing an appropriate phase diagram.

$($Christmas exam $2018,$ Q$1)$

B$)$

If the maximum and minimum void ratio values are $0\mathrm{.}7$ and $0\mathrm{.}65$

respectively determine the density index and classify the sample.