Final answer:
It would take approximately 92.71 hours to fill the swimming pool.
Step-by-step explanation:
To determine how long it takes to fill a swimming pool, we need to calculate the volume of the pool and then divide it by the flow rate of water from the hose. The volume of the pool can be calculated as follows:
Volume = length × width × depth
Plugging in the given values, Volume = 9.5m × 21.0m × 3.1m = 608.85 cubic meters.
Next, we divide the volume by the flow rate of the water from the hose to find the time it takes to fill the pool:
Time = Volume / Flow rate = 608.85 cubic meters / (1.5m/s × π × (0.019m/2)^2) = 92.71 hours.
Therefore, it would take approximately 92.71 hours (option B) to fill the swimming pool.