Q$.3($a$)$ A cylindrical sand sample was tested in a Constant Head permeameter as shown in Figure Q$\mathrm{.}3($a$).$ Under a steady flow, the discharge was reported to be $0\mathrm{.}0011m^3$ in $5$ minutes. Determine

$($i$)$ the hydraulic gradient across the soil sample;

$(2$ marks$)$

$($ii$)$ the coefficient of permeability $($hydraulic conductivity$)$ in $\frac{m}{s}$; $(2$ marks$)$

$($iii$)$ the seepage velocity of water in $\frac{m}{s}$ if the porosity of the soil sample is $0\mathrm{.}40.$

$(2$ marks$)$

Diameter of the sample $=75mm$

Figure Q$\mathrm{.}3($a$)($NTS$)$