$[5$ marks$]$ Three hunters are having no luck, so they decide instead to shoot holes in a steel barrel they spot in the woods with $30$ inches of water in it$.$

a$)$ Hunter A shoots the barrel $25$ inches up from the bottom using a $.444$ Marlin cartridge, making a $0\mathrm{.}444$inch diameter hole in the barrel.

b$)$ Hunter B shoots the barrel $6$ inches up from the bottom using a $.308$ Winchester cartridge, making a $0\mathrm{.}308-$inch diameter hole in the barrel.

c$)$ Hunter C shoots the barrel $1$ inch up from the bottom using a $.223$ Remington cartridge, making a $0\mathrm{.}223-$inch diameter hole in the barrel.

For the instant shown, which hunter creates the largest leak in the barrel and what is the rate of leakage for that bullet hole in gpm$?$ Neglect frictional losses in your analysis.