Answer :
Final answer:
To determine the volume of the fuel in gallons, the mass of the fuel is first converted into volume using the given fuel density. Then this volume in liters is converted into gallons using the conversion factor.
Explanation:
First, we need to convert the mass of the fuel into volume using the given density. The density of an object is its mass per unit volume, which is expressed in the formula: density = mass/volume. We can rearrange this to find the volume: volume = mass/density. By substituting the given values which are the mass 165,000 kg and the density 0.804 kg/L, we get the volume in liters.
To convert liters into gallons, we use the conversion factor of 1 liter = 0.264172 gallons. Therefore, the volume of the fuel in gallons can be found by multiplying the volume in liters by 0.264172.
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