Cut$/$Fill Example Problem

A clay borrow material will be used in the construction of a landfill cap. The total volume of clay in the cap will be $32,000$ CY$.$ The borrow material has a specific gravity of $2\mathrm{.}75,$ a moisture content of $22\%,$ and is $100\%$ saturated. The specifications for the landfill cap call for a placement moisture content of $28\%$ and a dry density of $95$ pcf$.$

Compute the volume $($CY$)$ of borrow material required

Assuming the clay will be placed in $4-$inch$-$thick lifts $($compacted thickness$),$ how many gallons of water will be required for each lift, per acre, to achieve the specified placement moisture content?