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Answer :
Certainly! Let's find out how many gallons of water are in a swimming pool that contains 2,850 kiloliters (kL) of water.
### Steps to Convert Kiloliters to Gallons
1. Understand the Conversion Factor:
- We know that 1 gallon (gal) is equal to 3.785 liters (L).
2. Convert Kiloliters to Liters:
- First, we need to remember that 1 kiloliter (kL) is equal to 1,000 liters.
- Therefore, 2,850 kiloliters is equal to [tex]\( 2,850 \times 1,000 = 2,850,000 \)[/tex] liters.
3. Convert Liters to Gallons:
- To find out how many gallons are in 2,850,000 liters, we use the conversion factor:
[tex]\[
\text{Number of Gallons} = \frac{\text{Liters}}{3.785}
\][/tex]
- Substitute the number of liters we've calculated:
[tex]\[
\text{Number of Gallons} = \frac{2,850,000}{3.785} \approx 752,972.26
\][/tex]
4. Choose the Closest Answer Option:
- From the options given:
- 7,530 gal
- 10,800 gal
- 753,000 gal
- 10,800,000 gal
- The closest to 752,972.26 is 753,000 gallons.
Therefore, the swimming pool contains approximately 753,000 gallons of water.
### Steps to Convert Kiloliters to Gallons
1. Understand the Conversion Factor:
- We know that 1 gallon (gal) is equal to 3.785 liters (L).
2. Convert Kiloliters to Liters:
- First, we need to remember that 1 kiloliter (kL) is equal to 1,000 liters.
- Therefore, 2,850 kiloliters is equal to [tex]\( 2,850 \times 1,000 = 2,850,000 \)[/tex] liters.
3. Convert Liters to Gallons:
- To find out how many gallons are in 2,850,000 liters, we use the conversion factor:
[tex]\[
\text{Number of Gallons} = \frac{\text{Liters}}{3.785}
\][/tex]
- Substitute the number of liters we've calculated:
[tex]\[
\text{Number of Gallons} = \frac{2,850,000}{3.785} \approx 752,972.26
\][/tex]
4. Choose the Closest Answer Option:
- From the options given:
- 7,530 gal
- 10,800 gal
- 753,000 gal
- 10,800,000 gal
- The closest to 752,972.26 is 753,000 gallons.
Therefore, the swimming pool contains approximately 753,000 gallons of water.
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