Respuesta :
Volume of the pool = πr²h
Volume of the pool:
π(13)²(4) = 2123.72 ft³
Amount of water :
1 ft³ = 7.48 gallon
2123.72 ft³ = 2123.72 x 7.48
2123.72 ft³ = 15885.4 gallons
Cost to fill the pool:
1000 gallon = $2
15885.4 gallons = $32
Answer: $32
Volume of the pool:
π(13)²(4) = 2123.72 ft³
Amount of water :
1 ft³ = 7.48 gallon
2123.72 ft³ = 2123.72 x 7.48
2123.72 ft³ = 15885.4 gallons
Cost to fill the pool:
1000 gallon = $2
15885.4 gallons = $32
Answer: $32
The cost to fill the pool with water is $32 .
What is circular backyard pool ?
A circular backyard pool is in the shape of cylinder. The base has the circular shape and it has the depth as cylinder. The volume of the circular backyard pool is the capacity of the pool.
For the given situation,
The diameter of the circular backyard pool,d = 26 feet
So, radius of the circular backyard pool,r = [tex]\frac{26}{2}[/tex]
⇒ r = 13 feet
Volume of circular backyard pool = base area × height
⇒ [tex]V=(\pi r^{2} )h[/tex]
⇒ [tex]V=(3.14) (13)^{2} )(4)[/tex] [∵ π = 3.14]
⇒ V = 2122.64 cubic feet
We know that 1 cubic feet = 7.48 gallons
Now, 2122.64 cubic feet = 2122.64 × 7.48 gallons
⇒ 15877.34 gallons
Costs per thousand gallons = $2
⇒ 1000 gallons = $2
⇒ 1 gallons = [tex]\frac{2}{1000}[/tex]
⇒ $0.002
Thus cost to fill the pool = 15877.34 × 0.002
⇒ $31.75 ≈ $32
Hence we can conclude that the cost to fill the pool with water is $32 .
Learn more about circular backyard pool here
https://brainly.com/question/15051723
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