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Answer :
To solve the problem of converting 27.3 hectoliters to gallons to the nearest hundredth, follow these steps:
1. Identify the conversion factor:
We need to know how many gallons are in one hectoliter. The conversion factor is:
[tex]\[
1 \text{ hectoliter} = 26.4172 \text{ gallons}
\][/tex]
2. Multiply the given quantity (in hectoliters) by the conversion factor:
We are given 27.3 hectoliters, so we multiply this by the conversion factor:
[tex]\[
27.3 \text{ hectoliters} \times 26.4172 \text{ gallons per hectoliter}
\][/tex]
3. Calculate the product:
Performing the multiplication gives:
[tex]\[
27.3 \times 26.4172 = 721.18956 \text{ gallons}
\][/tex]
4. Round the result to the nearest hundredth:
Now, we round 721.18956 to the nearest hundredth (two decimal places). This gives:
[tex]\[
721.19 \text{ gallons}
\][/tex]
Therefore, 27.3 hectoliters is equal to 721.19 gallons when rounded to the nearest hundredth.
The correct option from the given choices is:
[tex]\[
\boxed{721.19 \text{ gal}}
\][/tex]
1. Identify the conversion factor:
We need to know how many gallons are in one hectoliter. The conversion factor is:
[tex]\[
1 \text{ hectoliter} = 26.4172 \text{ gallons}
\][/tex]
2. Multiply the given quantity (in hectoliters) by the conversion factor:
We are given 27.3 hectoliters, so we multiply this by the conversion factor:
[tex]\[
27.3 \text{ hectoliters} \times 26.4172 \text{ gallons per hectoliter}
\][/tex]
3. Calculate the product:
Performing the multiplication gives:
[tex]\[
27.3 \times 26.4172 = 721.18956 \text{ gallons}
\][/tex]
4. Round the result to the nearest hundredth:
Now, we round 721.18956 to the nearest hundredth (two decimal places). This gives:
[tex]\[
721.19 \text{ gallons}
\][/tex]
Therefore, 27.3 hectoliters is equal to 721.19 gallons when rounded to the nearest hundredth.
The correct option from the given choices is:
[tex]\[
\boxed{721.19 \text{ gal}}
\][/tex]
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