Question

water is pouring down into a cuboidal reservoir at the rate of 60 liters per minute.if the volume of the reservoir is 108m cube, find the number of hours it will take to fill the reservoir .

Answer 1

30 hours it will take to fill the reservoir.

Explanation:

Given:

Water is pouring down into a cuboidal reservoir at the rate of 60 liters per minute.

The volume of the reservoir is 108 m³.

Now, to find the number of hours it will take to fill the reservoir.

As given the rate is liters per minute so we convert the volume into liters:

1 m³ = 1000 liters.

Thus, 108 m³ = 1000 × 108 = 108000 liters.

So, the volume of reservoir = 108000 liters.

And the rate of water pouring down = 60 liters per minute.

Now, to get the number of hours to fill the reservoir:

`(volume\ of\ reservoir)/(rate\ of\ water\ pouring\ down)`

`=(108000)/(60)`

`=1800\ minutes.`

Now, to convert the 1800 minutes to hours by dividing 1800 by 60 as 1 hour is equal to 60 minutes:

`(1800)/(60)`

`=30\ hours.`

Therefore, 30 hours it will take to fill the reservoir.