Question

A severe thunderstorm dumped 2.4 in of rain in 30 min on a town of area 29 km2. What mass of water fell on the town? One cubic meter of water has a mass of 103 kg.

Answer 1

Answer:

The mass of water is $1.7661\times10^{9}\ kg$

Explanation:

Given that,

Area of town = 29 km²

Time = 30 min

Height = 2.4 inch

Mass = 103 kg

We know that,

1 m = 39.37 inch

So, $2.4\ inch =\dfrac{2.4}{39.37}$

$2.4\ inch=0.0609\ m$

We need to calculate the volume

Using formula of volume

$V=H\times A$

Put the value into the formula

$V=0.0609\times29\times1000^2$

$V=1766100\ m^3$

We need to calculate the mass of water

Using formula of density

$\rho=\dfrac{m}{V}$

Put the value into the formula

$1000=\dfrac{m}{1766100}$

$m=1000\times1766100$

$m=1.7661\times10^{9}\ kg$

Hence, The mass of water is $1.7661\times10^{9}\ kg$