volume = 25x15x1.5 m^3 = 562.5m^3
There are 1000 L in 1 m^3
So it holds 562000 L
Then number of minutes = 562000/20 min
= 28125 minutes
= 468.75 hours
(Now if they would only make "time" metric.)
There are 1000 L in 1 m^3
So it holds 562000 L
Then number of minutes = 562000/20 min
= 28125 minutes
= 468.75 hours
(Now if they would only make "time" metric.)
First, let's convert the dimensions of the pool to meters:
- Length: 25 m
- Width: 15 m
- Depth: 150 cm = 1.5 m (since 1 m = 100 cm)
Now we can calculate the volume of the pool in cubic meters:
Volume = Length x Width x Depth
Volume = 25 m x 15 m x 1.5 m
Volume = 562.5 cubic meters
Next, let's convert the rate of filling from liters to cubic meters:
20 L/min = 0.02 cubic meters/min
Now we can calculate the time needed to fill the pool:
Time = Volume / Rate of filling
Time = 562.5 cubic meters / 0.02 cubic meters/min
To cancel out the unit of cubic meters, we can divide both numerator and denominator by 0.02:
Time = (562.5 cubic meters / 0.02 cubic meters/min) / (0.02 cubic meters/min / 0.02 cubic meters/min)
Time = 562.5 / 0.02 min
Calculating the division:
Time = 28125 min
Lastly, let's convert the time from minutes to hours:
Time = 28125 min / 60 min/hour
Time ≈ 468.75 hours
Therefore, it will take approximately 468.75 hours to fill the swimming pool.