$(25)$ A researcher conducted an evaporation study using a $4$ foot diameter evaporation pan with $3$ pan side$-$wall depth of $10$ inches. Althe bepinnine of the evpriment, she filled the pan methe pounds of water. Over the course of $7$ days, she added another $70$ pounds of water and at the end of the $7$ days, there was $120$ pounds of water remaining. A nearby rain gage recorded $0\mathrm{.}3$ inches of precipitation over that $7-$day period. The specific weight $(y)$ of water is $82\mathrm{.}4l{b}_h^3$

a$.$ What was the pan evaperation rate $($in inches$/$day$)?$

b$.$ Calculate the total volume of water that evaporated over the $7-$day experiment $($in gallons$).$

c$.$ A nearby lake has an area of $350$ acres. Calculate the volume of water evaporated each day $($in Ac$-$ft$/$day$)$ using the simple method if $K=0\mathrm{.}75.$