Problem # $1$: You are to construct a $1,100$ foot long section of a levee that has a top width of $12$ feet, side slopes of $3$:$1,$ and the following heights above existing grade:

$\backslash$table$[[$Station$,$Height$],[0+00,7\mathrm{.}75],[5+50,6\mathrm{.}96],[11+00,4\mathrm{.}85]]$

You are instructed to compact it to a dry unit weight of $114$ pcf at an optimum moisture of $14\%.$ The borrow material has an in$-$situ $($moist$)$ unit weight of $100\mathrm{.}8$ pcf$,$ a moisture content of $5\%,$ and a particle density of $2\mathrm{.}66\frac{g}{c}{m}^3.$ Its swell factor is $0\mathrm{.}85.$

Find:

The shrink factor for the soil.

The required borrow volume.

How many gallons of water need to be added per loose cubic yard of soil?

How many $8,000$ gallon water truck loads would be needed to apply the water during placement?

How many $25$ cy loads would be needed to transport the soil, including waste?

If the compacted material saturates due to rising water, what would its moisture content be$?$