Problem $4\mathrm{.}5$ A cylinder has $500$ cm $3$ of water After a mass of $100$ grams of sand is poured into the cylinder and all air bubbles are removed by a vacuum pump, the water level rises to $5375cm3,$ Determine the specific gravity of the sand.

a$)2\mathrm{.}87$

b$)2\mathrm{.}23$

c$)3\mathrm{.}13$

d$)2\mathrm{.}67$

Problem $4\mathrm{.}6$ An ASTM D $854$ test was done on a sand. The data are as shown below. Calculate the specific gravity. Mass of pycnometer $=40\mathrm{.}1$ grams Mass of pycmometer and dry sofl $=65\mathrm{.}8$ grams Mass of pycnometer, dry soll and water $=154\mathrm{.}5$ grams Mass of pyenometer and water $=138\mathrm{.}5$ grams

a$)2\mathrm{.}45$

b$)2\mathrm{.}65$

c$)2\mathrm{.}7$

d$)2\mathrm{.}67$