Answer:
[tex]15887.55\ \text{gallons}[/tex]
Step-by-step explanation:
d = Diameter of pool = 26 ft
r = Radius = [tex]\dfrac{d}{2}=\dfrac{26}{2}=13\ \text{ft}[/tex]
h = Height of pool = 4 ft
Volume of the pool is
[tex]V=\pi r^2h=\pi\times 13^2\times 4\\\Rightarrow V=2123.72\ \text{ft}^3[/tex]
Converting to gallons
[tex]1\ \text{ft}^3=7.481\ \text{gallons}\\\Rightarrow 2123.72\ \text{ft}^3=2123.72\times 7.481\\ =15887.55\ \text{gallons}[/tex]
So, the gallons of water required to fill the pool is [tex]15887.55\ \text{gallons}[/tex].
