$4\mathrm{.}20$ You are an earthwork construction control inspector checking the field compaction of a layer of soil. The laboratory compaction curve for the soil is shown in Fig. P$4\mathrm{.}20.$ Specifications call for the compacted density to be at least $95\%$ of the maximum laboratory value and within $+-2\%$ of the optimum water content. When you did the sand cone test, the volume of soil excavated was $1165c{m}^3.$ It weighed $2230$ g wet and $1852$ g dry.