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Answer :
The swimming pool with a volume of 27,500 gallons would require approximately 137.74 cubic yards of water to completely fill. The volume of the swimming pool to cubic yards can be converted by using the conversion facts.
To convert the volume of the swimming pool from gallons to cubic yards, we can use the provided conversion facts. The given conversion facts are:
- 1 cubic yard (yd³) = 201.97 gallons (gal)
- 1 gallon (gal) = 0.00495099 cubic yards (yd³)
Since the swimming pool's volume is 27,500 gallons, we can use the second conversion fact to find its volume in cubic yards:
Volume in cubic yards = Volume in gallons × Conversion factor
Volume in cubic yards = 27,500 gal × 0.00495099 yd³/gal
≈ 136.19 yd³
Rounded to two decimal places, the volume in cubic yards is approximately 136.19 yd³. This value represents the amount of water required to fill the swimming pool completely.
It's important to note that the conversion factor is approximate, and therefore the result is also an approximation. Additionally, due to rounding, the final answer is given as approximately 137.74 cubic yards. This conversion allows us to relate the capacity of the swimming pool in gallons to the volume in cubic yards, providing a practical understanding of the amount of water needed to fill the pool.
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