PLEASE WORK OUT AND EXPLAIN REASONING

$(4$ points$)$ A diving pool has a maximum water depth of $20$ feet. A barometer indicates that the absolute

pressure of the air inside the diving complex is ${30\mathrm{.}1}^{\text{'}\text{'}}Hg.$

The water in the pool has a specific volume of $0\mathrm{.}01609f\frac{t^3}{l}bm$ and the density of mercury is $848\mathrm{.}75lb\frac{m}{f}{t}^3.$

Determine the following. Round your answers to four significant figures.

a$.$

psig

Gage pressure of air inside the diving complex

b$.$

osia

Absolute pressure of air inside the diving complex

$78436053$

c$.62,15ib\frac{m}{f}{t}^3$

Density of the water in the pool

$62\mathrm{.}15040398$

d$.23\mathrm{.}42$

$23\mathrm{.}42$

Absolute pressure of water at the bottom of the diving pool

$41636108$