An Olympic swimming pool is roughly 45m long and 33m wide and 5m deep. How long will it take to fill such a pool with a regular garden hose?
**estimation question, give an estimate of flow rate of hose.
To estimate the time it would take to fill an Olympic swimming pool with a regular garden hose, we first need to estimate the flow rate of the hose. The flow rate is typically measured in gallons per minute (GPM) or liters per hour (L/hr).
Let's assume a common flow rate for a regular garden hose is around 5 to 8 gallons per minute (GPM) or 19 to 30 liters per minute.
Now, we will calculate the volume of the pool. The formula for calculating the volume of a rectangular prism (the shape of the pool) is:
Volume = length × width × depth
Volume = 45m × 33m × 5m
Volume = 7425 cubic meters
To convert cubic meters to liters, we need to multiply by 1000:
Volume = 7425 cubic meters × 1000 = 7,425,000 liters
Now, we can estimate the time it would take to fill the pool. Let's assume a flow rate of 25 liters per minute:
Time = Volume / Flow rate
Time = 7,425,000 liters / 25 liters per minute
Time = 297,000 minutes
So, it would take approximately 297,000 minutes to fill the Olympic swimming pool with a regular garden hose, assuming a flow rate of 25 liters per minute.
Keep in mind that this is just an estimation, and the actual time may vary depending on several factors such as water pressure, hose diameter, and efficiency of the filling process.