Problem $4$a

A soil sample taken in the field using a $10$ cm $-$long cylindrical core with $4$ cm diameter has a field mass of $200$ g before being dried for $24$ hours in an oven. Dry mass is $160$ g $.$ Sieve analysis indicates the sample is $20\%$ clay, $60\%$ silt, $20\%$ sand. Particle density $({}_m)$ may be assumed as $2\mathrm{.}650\frac{g}{c}{m}^3.$

Calculate the bulk density $($in $\frac{g}{c}{m}^3).$

$$