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

The mass of water is
`1.7661*10^(9)\ kg`

Step-by-step 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 =(2.4)/(39.37)`

`2.4\ inch=0.0609\ m`

We need to calculate the volume

Using formula of volume

`V=H* A`

Put the value into the formula

`V=0.0609*29*1000^2`

`V=1766100\ m^3`

We need to calculate the mass of water

Using formula of density

`\rho=(m)/(V)`

Put the value into the formula

`1000=(m)/(1766100)`

`m=1000*1766100`

`m=1.7661*10^(9)\ kg`

Hence, The mass of water is
`1.7661*10^(9)\ kg`