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A swimming pool has a volume of 40,323 cubic feet. How many gallons of water does the pool hold?

\[
\begin{tabular}{|ll|}
\hline
2 pints $(pt)$ & $=1$ quart $(qt)$ \\
\hline
4 quarts & $=1$ gallon $(ga)$ \\
\hline
1 gallon & $=128$ ounces $(oz)$ \\
\hline
1 cup $(c)$ & $=8$ ounces \\
\hline
& \\
\hline
Volume in Cubic Units & Capacity \\
\hline
1 cubic yard & about 200 gallons \\
\hline
1 cubic foot & about 7.48 gallons \\
\hline
231 cubic inches & about 1 gallon \\
\hline
\end{tabular}
\]

The pool holds approximately [tex]301429[/tex] gallons of water. (Round to the nearest whole number as needed.)

Answer :

To determine how many gallons of water the swimming pool holds, we need to convert the volume from cubic feet to gallons. Here's a step-by-step explanation of how this is done:

1. Understand the Conversion Factor: We know from the conversion table that 1 cubic foot is approximately equal to 7.48 gallons.

2. Determine the Volume of the Pool: The swimming pool has a volume of 40,323 cubic feet.

3. Convert Cubic Feet to Gallons: To find out how many gallons of water the pool can hold, we multiply the volume in cubic feet by the conversion factor from cubic feet to gallons.

[tex]\[
\text{Gallons} = 40,323 \text{ cubic feet} \times 7.48 \text{ gallons per cubic foot}
\][/tex]

4. Calculate: Performing the multiplication gives us the total number of gallons:

[tex]\[
\text{Gallons} = 301,616.04
\][/tex]

5. Round the Result: Since the problem asks us to round to the nearest whole number, we round 301,616.04 to 301,616.

Therefore, the swimming pool holds approximately 301,616 gallons of water.

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