Problem $2(20\%)$

For sandy soil, the maximum void ratio is $0\mathrm{.}75,$ the minimum void ratio is $0\mathrm{.}46,$ and the specific

gravity is $2\mathrm{.}7$

What is the void ratio at $65\%$ relative density?

What is the dry unit weight at $65\%$ relative density?

Note: $($:$D_r=\frac{e_{\text{m}\text{a}\text{x}}-e}{e_{\text{m}\text{a}\text{x}}}-e_{\text{m}\text{i}\text{n}}\}$