Water is poured into cuboidal container at the rate of 80liter per min. If the volume of container is 144m^3,find the no. Of hours it takes to fill the reservior.
To find the number of hours it takes to fill the reservoir, we need to determine the total volume of water that can be poured into the reservoir per minute and then calculate the time required to fill the entire reservoir.
Given:
Rate of pouring water = 80 liters per minute
Volume of the container (reservoir) = 144 m^3
1. Convert the given rate of pouring water from liters to cubic meters:
Since 1 liter is equal to 0.001 cubic meters, we can convert 80 liters per minute as follows:
Conversion factor: 1 liter = 0.001 cubic meters
Rate of pouring water in cubic meters per minute = 80 liters per minute × 0.001 cubic meters per liter
Therefore, the rate of pouring water in cubic meters per minute = 0.08 cubic meters per minute.
2. Calculate the time required to fill the reservoir:
Time required = Volume of the reservoir ÷ Rate of pouring water
Given that the volume of the reservoir is 144 m^3 and the rate of pouring water is 0.08 cubic meters per minute, the time required to fill the reservoir can be calculated as follows:
Time required = 144 m^3 ÷ 0.08 cubic meters per minute
Dividing the volume of the reservoir by the rate of pouring water gives us the result in minutes.
3. Convert the time to hours:
Since we are required to find the number of hours, divide the calculated time in minutes by 60 to convert it to hours.
Time in hours = Time in minutes ÷ 60
Therefore, the final answer will be the time required to fill the reservoir divided by 60.
By following these steps, you can calculate the number of hours it takes to fill the reservoir with water.