91Ó°ÊÓ

Thunderstorm dumped 2.0 in. of rain in 30 min.

Area of town is 26km² .

The acre-foot is a commonly used volume unit referring to large-scale water resources, such as reservoirs, aqueducts, canals, and sewage flow capacity.As its name implies, an acre-foot is defined as the volume of an acre surface to a depth of one foot.

The area of town is, A = 26 km²

To convert the volume in acre-feet units, perform the necessary conversions.

$$\begin{gathered} \text{1km=3281ft} \\ {\text{1ft}}^2\text{=}\frac{1}{43560}\text{acre} \\ 1inch=\frac{1}{12}inchft \end{gathered}$$

$A=26k{m}^2×{\left(3281\right)}^2\frac{ft2}{km2}=279.89×{10}^{6}f{t}^2$

Now, convert the area frominto acre

$279.89×{10}^{6}f{t}^2×\frac{1acre}{43560f{t}^2}=6425.39acre$

Thus, the area is$6425.39acre$.

The height of the rainfall is,h= 2.0 inch

Now, convert height from inch to ft.

$$\begin{gathered} h=2inch×\frac{1ft}{12inch} \\ =\frac{1}{6}ft \end{gathered}$$

Thus, the height of the rainfall is $\frac{1}{6}ft$.

Volume of water fall is calculated as:

$$\begin{gathered} V=A×h \\ =6425.39acre×\frac{1}{6}ft \\ =1070.89acre-feet \end{gathered}$$

Rounding off to correct significant figures, volume of water in is$1.1×{10}^{3}acrefeet$.