A barrel of crude oil contains about 5.61 cubic feet of oil. How many barrels of oil contained in 1 mile (5280 feet) of a pipeli ne that has an inside diameter of 6 inches and is completely filled with oil? How much is "1 mile" of oil in this pipeline worth at a price of $100 per barrel?
1 answer:
1)volume of the pipeline The pipeline is a cylinder, therefore; Volume (cylinder)=πr²h r=radius h=height of the cylinder diameter=6 in*(1 ft / 12 in)=0.5 ft raius=diameter / 2=0.5 ft / 2=0.25 ft. height=5280 ft Volume (pipeline)=π(0.25 ft)²(5280 ft)=330π ft³≈1036.73 ft³.2) we calculate the number of barrel 1 mile of oil in this pipeline is 330π ft³ of oil. 1 barrel of crude------------------5.61 ft³ x----------------------------------330π ft³ x=(1 barrel*330π ft³) / 5.61 ft³=184.8 barrels 3) we calculate the price. 1 barrel---------------$100 184.8 barrels---------- x x=(184.8 barrels * $100) / 1 barrel=$18,480Solution: ≈$18,480
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