You are an earthwork construction control inspector checking the field compaction of a layer of soil. Specifications call for the compacted density to be at least $95\%$ of the maximum dry density based on modified proctor effort, with compaction water content within the range of optimum water content $+-2\%.$ The laboratory compaction curve based on modified proctor test is shown below. $(Gs=2\mathrm{.}7)$ To verify the amount of compaction in the field, you conducted the sand cone test and obtained the following data:

Excavated volume of soil $=1165c{m}^3$

Wet mass of excavated soil $=2230g$

Dry mass of excavated soil $=1852g$