Question

How many gallons of water will it take to fill up a swimming pool 26 ft in diameter and 4 feet deep

Answer 1

`15887.55\ \text{gallons}`

Explanation:

d = Diameter of pool = 26 ft

r = Radius =
`(d)/(2)=(26)/(2)=13\ \text{ft}`

h = Height of pool = 4 ft

Volume of the pool is

`V=\pi r^2h=\pi* 13^2* 4\\\Rightarrow V=2123.72\ \text{ft}^3`

Converting to gallons

`1\ \text{ft}^3=7.481\ \text{gallons}\\\Rightarrow 2123.72\ \text{ft}^3=2123.72* 7.481\\ =15887.55\ \text{gallons}`

So, the gallons of water required to fill the pool is
`15887.55\ \text{gallons}`.