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

User Adwaenyth
by
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1 Answer

5 votes

Answer:


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}.

User David Siro
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