A falling$-$head permeability test is performed on a fine$-$grained soil. The soil sample has a length of $6\mathrm{.}4$ in$.$ and a cross$-$sectional area of $0\mathrm{.}7$ in$2.$ The water in the standpipe flowing into the soil is $36\mathrm{.}3$ in$.$ above the top of the sample at the start of the test. It falls $2\mathrm{.}0$ in$.$ during the $30$ minute test. The standpipe has a cross$-$sectional area of $0\mathrm{.}06$ in$2.$

What is the Coefficient of Permeability in inches per hour?