Question

Water is pouring into a cuboidal reservoir at the rate of 180 litres per minute. If the volume is 324 m³, find the number of hours it will take to fill the reservoir.​

Answer 1

Answer:

Hence, the number of hours it will take to fill the reservoir is 30hours.

Step-by-step explanation:

As per the data provided in the given question.

The given data is as follows.

Water is pouring into a cuboidal reservoir at the rate of 180 litres per minute.

And the volume of reservoir is 324 m³.

As per the given question, the volume of reservoir is given in meter, so we have to convert it into liters.

By the conversion ratio,

1 meter = 1000 liters

For 324m³,

=324×1000

=324000 liters

Here, water is poured at the rate of 180 liters per minutes.

So, time taken to pour 180 liters =1 minutes.

Time taken to pour 1 liters =$\frac{1}{180} minutes$

Time taken to pour 324000 liters = $324000\times \frac{1}{180}$

   [tex]=\frac{324000}{180}\\ [/tex]

We will cancel both numerator and denominator zero.

We get,

 $=\frac{32400}{18}$

We will divide the 32400 by 18.

We get,

=1800 minutes.

As we have ask  the number of hours in the question, so we will convert 1800 minutes into hours.

By the conversion ratio,

60 minutes = 1 hours

To convert minutes into hours we will divide by 60 minutes.

We get ,

[tex]=\frac{1800}{60} \\ [/tex]

We will cancel both numerator and denominator zero.

We get,

$=\frac{180}{6}$

We will divide 180 by 6

We get

=30 hours.

Hence, the number of hours it will take to fill the reservoir is 30hours.