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 reservoir will fill in 30 hours.

Step-by-step explanation:

As per the data provided in the above 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 reservoir is  324m³.

We have to find the number of hours to fill the reservoir.

As per the question, time taken is given in liters .

So we have to convert the volume in liters.

As per the conversion ratio

1m³=1000liters

324m³=324×1000=324000liters

Water is poured at the rate of 180 liters per minute.

Time taken to pour 180 liters =1 minute.

Time taken to pour 1 liters =$\frac{1}{60}$minute.

Time taken to pour 324000 liters =$324000\times\frac{1}{60}$

 $=\frac{324000}{60}$

 $=\frac{32400}{6}$

 $=5400minutes$

Now, we have to convert 5400 minutes into hours.

We have to divide 5400 minutes by 60.

We get,

$=\frac{5400}{60} hours$

$=90hours$

Hence, the reservoir will fill in 30 hours.