Sand Cone Method to Determine Density - A solved Example

Hi,
This is an example of a problem that deals with the application of the Sand Cone Test to determine the density of the compacted soil. The solution is given in details. 

Problem: 
A sand cone density test was conducted on soil compaction at a land development project. It has the following data:
the volume of the standard Proctor mould = 1/30 cubic feet
Mass of the sand drained to fill the mould = 3.30 lbs
Mass of the sand to fill the cone = 0.53 lbs
Mass of the soil dug from the hole = 8.11 lbs (and have water content w = 11.11%)
Mass of jug + Sand + Cone before used to fill the hole = 10.20 lbs
Mass of jug+ Sand cone after used = 3.20 lbs

Determine: (A) The density of the Ottawa Sand(pcf)
                    (B) The volume of the cone (cubic feet)
                    (C) The volume of the hole dug  + Cone (Cubic ft)
                    (D)  The volume of the hole dug
                    (E)  The dry density of the compacted soil

Solution (see image): 




Thanks!