$4\mathrm{.}4.$ Rework Problem $4\mathrm{.}1$ assuming that the storm occurred over a basin of $2\mathrm{.}5k{m}^2,$ the rainfall intensities were $12,10,3,8,$ and $5c\frac{m}{h}r,$ and the direct surface runoff was $463,000m^3.$

$4\mathrm{.}5.$ Rework Problem $4\mathrm{.}2$ assuming that the initial infiltration capacity was $10c\frac{m}{h}r,$ the ultimate capacity was $1\mathrm{.}2c\frac{m}{h}r,$ and a total of $33$ cm of water infiltrated during the $10-hr$ interval.

$4\mathrm{.}6.$ The direct surface runoff volume from a $4\mathrm{.}40-m{i}^2$ drainage basin is determined by planimeter from the area under the hydrograph to be $10,080cfs-hr.$ The hydrograph was produced by a $1\mathrm{.}71-in\frac{.}{h}r$ rain storm with a duration of $5$ hr $.$ Determine $($a$)$ the net rain and $($b$)$ the $$ index.

$4\mathrm{.}7.$ The following table lists the storm rainfall data and infiltration capacity data for a $24-$hr storm beginning at midnight on April $14$ of the current year.

a$.$ Plot the rainfall hyetograph and the $f$ capacity curve on rectangular coordinate paper.

b$.$ Determine the total storm precipitation in inches.

c$.$ By counting squares or by planimeter, determine the net storm rain by the $f$ capacity method.