Assume that $50,000y{d}^3$ of the soil from the borrow pit is to be delivered to an embankment

at a construction site. By the time it reaches the site, the water content is$.9\%.$ It will be

compacted to a minimum of $90\%$ of modified Proctor maximum dry density. Determine the

total volume of water $($in $f{t}^3)$ that must be added to the soil to increase the moisture content to

the optimum level.

Dry unit weight of soil in borrow pit $97pcf$

Specific gravity of the soil particles $2\mathrm{.}70$

Modified Proctor optimum moisture content $14\%$ OMC

Modified Proctor maximum dry density $116pcf$

Please show all work