Answer:
It will cost $105.69 to fill the pool.
Step-by-step explanation:
We are given the following in the question:
Diameter of pool, d = 30 feet
Radius, r =
[tex]\dfrac{d}{2} = 15\text{ feet}[/tex]
Height of pool, h = 5 feet
Volume of pool = Volume of cylinder =
[tex]V = \pi r^2h\\V = (3.14)\times (15)^2\times (5)\\V = 3532.5\text{ cubic feet}[/tex]
One cubic foot = 7.48 gallons
Capacity of pool =
[tex]3532.5\times 7.48\\=26423.1\text{ gallons}[/tex]
Cost of water = $4 per thousand gallons
Total cost of water of pool =
[tex]26423.1\times \dfrac{4}{1000} = \$105.69[/tex]
Thus, it will cost $105.69 to fill the pool.
