A fuel oil settler is 35 feet 4 inches long, 25 feet 10 inches wide, and 19 feet deep. The noon sounding showed a level of 15 feet 2 inches. The oil meter reads 6517 at that time and 8911 at 1600. How many barrels of fuel oil remained in the settler at 1600?
• Volume calculation of a rectangular tank (length × breadth × depth) and converting cubic feet to barrels (bbls) • How a sounding (depth of liquid) relates to the volume of fuel in the settler • Relationship between meter readings and the quantity of fuel transferred between noon and 1600
• First, if the tank were full to the top, what would its total volume be in cubic feet, and how many barrels is that? • Given the noon sounding and tank dimensions, what fraction (or depth) of the tank was full at noon, and what volume does that represent? • How many barrels were pumped out between noon and 1600 according to the change in meter readings, and how does subtracting that amount from the noon quantity give you the amount remaining at 1600?
• Be sure to convert inches to feet before doing any volume calculations • Use the correct conversion factor from cubic feet to barrels (1 bbl = 5.61458 cubic feet, commonly approximated as 5.615 cu ft/bbl, if your exam uses that) • Confirm whether you are calculating remaining fuel at 1600 (starting amount at noon minus amount pumped), not the amount pumped itself
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