Answer :
Sure! Let's solve the problem step by step.
1. Understand the given information:
- The swimming pool contains [tex]\( 2850 \)[/tex] kiloliters (kL) of water.
- We need to convert this amount into gallons (gal).
- The conversion factor is given: [tex]\( 1 \)[/tex] gallon [tex]\( = 3.785 \)[/tex] liters (L).
2. Convert kiloliters to liters:
- [tex]\( 1 \)[/tex] kiloliter (kL) [tex]\( = 1000 \)[/tex] liters (L).
- Therefore, [tex]\( 2850 \)[/tex] kiloliters [tex]\( = 2850 \times 1000 \)[/tex] liters.
- This gives us [tex]\( 2850000 \)[/tex] liters.
3. Convert liters to gallons:
- We know that [tex]\( 1 \)[/tex] gallon [tex]\( = 3.785 \)[/tex] liters.
- To find out how many gallons [tex]\( 2850000 \)[/tex] liters are, we divide the total number of liters by the number of liters per gallon.
- So, the number of gallons [tex]\( = \frac{2850000 \, \text{L}}{3.785 \, \text{L/gal}} \)[/tex].
4. Calculation:
- Using the division, we get:
[tex]\[
\frac{2850000}{3.785} \approx 752972.26 \text{ gallons}
\][/tex]
5. Round to the appropriate number of significant figures:
- The most appropriate answer based on the choices given is [tex]\( 753,000 \)[/tex] gallons.
Conclusion:
The swimming pool contains approximately [tex]\( 753,000 \)[/tex] gallons of water. Therefore, the correct answer is:
[tex]\[ \boxed{753,000 \, \text{gal}} \][/tex]
1. Understand the given information:
- The swimming pool contains [tex]\( 2850 \)[/tex] kiloliters (kL) of water.
- We need to convert this amount into gallons (gal).
- The conversion factor is given: [tex]\( 1 \)[/tex] gallon [tex]\( = 3.785 \)[/tex] liters (L).
2. Convert kiloliters to liters:
- [tex]\( 1 \)[/tex] kiloliter (kL) [tex]\( = 1000 \)[/tex] liters (L).
- Therefore, [tex]\( 2850 \)[/tex] kiloliters [tex]\( = 2850 \times 1000 \)[/tex] liters.
- This gives us [tex]\( 2850000 \)[/tex] liters.
3. Convert liters to gallons:
- We know that [tex]\( 1 \)[/tex] gallon [tex]\( = 3.785 \)[/tex] liters.
- To find out how many gallons [tex]\( 2850000 \)[/tex] liters are, we divide the total number of liters by the number of liters per gallon.
- So, the number of gallons [tex]\( = \frac{2850000 \, \text{L}}{3.785 \, \text{L/gal}} \)[/tex].
4. Calculation:
- Using the division, we get:
[tex]\[
\frac{2850000}{3.785} \approx 752972.26 \text{ gallons}
\][/tex]
5. Round to the appropriate number of significant figures:
- The most appropriate answer based on the choices given is [tex]\( 753,000 \)[/tex] gallons.
Conclusion:
The swimming pool contains approximately [tex]\( 753,000 \)[/tex] gallons of water. Therefore, the correct answer is:
[tex]\[ \boxed{753,000 \, \text{gal}} \][/tex]
