To determine how many gallons the tank truck holds, we start with the given volume in kiloliters (kl) and use the conversion factor to convert to gallons.
Step-by-Step Solution:
1. Identify the given quantity:
We are given that the tank truck holds 33.6 kiloliters (kl) of oil.
2. Identify the conversion factor:
To convert from kiloliters (kl) to gallons, we use the conversion factor [tex]\(1 \text{ kl} = 264.172 \text{ gallons}\)[/tex].
3. Set up the conversion:
Multiply the volume in kiloliters by the conversion factor to get the volume in gallons:
[tex]\[
\text{Volume in gallons} = 33.6 \text{ kl} \times 264.172 \text{ gallons/kl}
\][/tex]
4. Calculate the result:
By performing the multiplication, we find:
[tex]\[
33.6 \times 264.172 = 8876.1792 \text{ gallons}
\][/tex]
Therefore, the tank truck holds approximately 8876.1792 gallons of oil.
