$1)$ A sample of ${2\mathrm{.}5}^{\text{'}\text{'}}$ diameter and ${0\mathrm{.}75}^{\text{'}\text{'}}$ height has the following properties:

Water density $=62\mathrm{.}4$ lb$/$ft$^3$

Water content, $w=0\mathrm{.}18$

Bulk Density $=115lb/$ft$^3$

Saturation $=100\%$

What is the void ratio, e$,$ of the sample? Provide answer with $2$ decimal places $($e$.$g$.0\mathrm{.}76)$

Correct Answer: $0\mathrm{.}39$

$2)$ The figure shows the soil profile at point $\text{'}$a$\text{'}.$ The soil is the same above and under the water table.

What is the EFFECTIVE PRESSURE at point $\text{'}a\text{'}?$ Provide answer in $l\frac{b}{f}{t}^2$

Density of water, $gw=62\mathrm{.}4lb/$ft$^3$

Water content, $w=0\mathrm{.}15$

Specific gravity, Gs $=2\mathrm{.}67$

Void ratio of the soil, $e=0\mathrm{.}67$

Note: The void ratio is same for the soil above and below the GWT$.$

Height of strata above the ground water table $($GWT$),$ H$1=10$

Height of strata above the ground water table $($GWT$),$ H$2=17$