Final answer:
Without the dimensions of the pool, it is impossible to calculate the exact volume of water needed or the amount of liner required. The example provided shows that a pool with a capacity of 80,000 liters would take about 22.22 hours to fill with a standard garden hose. The flow rate of a river at 5000 m³/s would fill the pool nearly instantaneously.
Step-by-step explanation:
To answer how much water will be needed to fill this pool 4 feet deep, we need to know the dimensions of the pool to calculate its volume. Unfortunately, the dimensions are not provided. However, for the example given in the reference information, a pool with a capacity of 80,000 liters would take approximately 1333.33 minutes or approximately 22.22 hours to fill using a garden hose that delivers 60 liters per minute.
As for the plastic liner required for the pool, we need the surface area of the pool to determine how much liner is needed. Without the pool's dimensions, we cannot calculate the exact amount of liner needed or the cost. However, once the dimensions are known, you would calculate the area of the pool's bottom and the area of the pool walls, add them together to get the total surface area, and then purchase enough liner to cover that area. The prices for the liner would then allow you to calculate the total cost.
Regarding diverting a moderate size river flowing at 5000 m³/s into the pool, such a flow rate is extraordinarily high, and the pool would be filled almost instantly, rendering the calculation practically irrelevant for real-world application.