Answer:
[tex]6015.8\ \text{gallons}[/tex]
Explanation:
d = Diameter of pool = 16 feet
h = Depth of pool = 4 feet
r = Radius = [tex]\dfrac{16}{2}=8\ \text{feet}[/tex]
Volume is given by
[tex]V=\pi r^2h\\\Rightarrow V=\pi 8^2\times 4\\\Rightarrow V=804.25\ \text{feet}^3[/tex]
[tex]1\ \text{feet}^3=7.48\ \text{liq gallon}[/tex]
[tex]804.25\ \text{feet}^3=804.25\times 7.48=6015.79\approx6015.8\ \text{gallons}[/tex]
The amount of water the pool will hold is [tex]6015.8\ \text{gallons}[/tex].
