A constant head permeability test was performed on a soil sample $73$ mm in diameter and $140$ mm long

with a measured discharge of $1\mathrm{.}00$ x $10-5$ m$3/$min$.$ If the total head loss was $1\mathrm{.}0$m and the soil was shown

to have a dry mass of $985$ grams with the specific gravity of the soil particles $2\mathrm{.}7,$ determine:

$($a$)$ the coefficient of permeability in m$/$sec$,$

$($b$)$ the average velocity or superficial velocity, and

$($c$)$ the seepage or void velocity.