Explanation:
The volume of a cylinder can be calculated using the formula:
V = πr^2h
where r is the radius of the cylinder, and h is the height of the cylinder.
The diameter of the pool is 14 feet, so the radius is half of that, or 7 feet. The height is 5 feet. Therefore, the volume of the pool is:
V = π(7)^2(5) ≈ 769.39 cubic feet
We can convert this volume to gallons using the conversion factor given:
1 cubic foot ≈ 7.5 gallons
Therefore:
769.39 cubic feet * 7.5 gallons/cubic foot ≈ 5,770 gallons
So the pool can contain approximately 5,770 gallons of water (rounded to the nearest whole number).