Answer:
It will take ≈ 8.27 hours to fill the circular inflatable pool using the garden hose
Step-by-step explanation:
1. Let's review the information provided to us to answer the question correctly:
Time it takes your garden hose to fill a 2-gallon watering can = 20 seconds
Circular inflatable pool size = 13 feet in diameter and 3 feet deep
2. How long will it take to fill a circular inflatable pool?
A. For answering the question, the first step is to calculate the volume of the inflatable pool, this way:
Diameter = 13 feet ⇒ Radius = 6.5 feet
Height = 3 feet
Volume of the inflatable pool = π * r² * h
Replacing with the real values, we have:
Volume of the inflatable pool = 3.1416 * 6.5² * 3
Volume of the inflatable pool = 398.2 feet³
B. Now we need to calculate how much water in gallons the inflatable pool will hold, this way:
Volume of the inflatable pool in gallons = Volume of the inflatable pool in cubic feet * 7.48
Replacing with the real values, we have:
Volume of the inflatable pool in gallons = 398.2 * 7.48
Volume of the inflatable pool in gallons = 2,978.54
C. Finally, we need to calculate the time it will take to fill the pool using the garden hose, this way:
Time it takes your garden hose to fill a 2-gallon watering can = 20 seconds
Simplifying, we have:
Time it takes your garden hose to fill a 1-gallon watering can = 10 seconds
Time it will take to fill the pool with the garden hose = Volume of the inflatable pool in gallons * 10
Replacing with the real values, we have:
Time it will take to fill the pool with the garden hose = 2,978.54 * 10
Time it will take to fill the pool with the garden hose = 29,785.4 seconds or 8.27 hours
It will take ≈ 8.27 hours to fill the circular inflatable pool using the garden hose
