Problem $4$:

A road fill is being placed and compacted. Testing of the fill material has provided values for the

maximum dry unit weight $(110$ pcf $),$ optimum moisture content $(6\%).$ Determine whether relative

compaction of $95\%$ is being achieved using the data from this sand cone test:

A hole is dug in the fill and the weight of the moist fill removed from the hole is $5\mathrm{.}50$ lb $.$

A $66\mathrm{.}0$ gram moist sample of the fill is oven dried and the dry weight is $61\mathrm{.}1$ grams.

The hole is filled with dry sand with known unit weight $(98$ pcf $)$ to determine its volume.

A total of $4\mathrm{.}81$ lb of the dry sand is needed to fill the hole.