$7\mathrm{.}13$ A constant$-$head hydraulic conductivity test has been conducted on a $110-mm$ diameter, $270-mm$ tall fine sand specimen in a permeameter similar to the one shown in Figure $7\mathrm{.}18.$ The upper and lower reservoir elevations were $2010mm$ and $1671mm$ above the lab floor. The piezometers, whose tips are spaced $200mm$ apart, had readings of $1809$ and $1578mm,$ and the graduated cylinder collected $910ml$ of water in $25$min$15s.$ Using the best available data, compute the hydraulic conductivity. Does the result seem reasonable? Why or why not?