Question

A barrel of crude oil contains 5.61 cubic feet of oil. How many barrels of oil are contained in 1 mile (5280 feet) of a pipeline 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?

Answer 1

Considering the volume of a cylinder, we have that:

• There are 185 barrels of oil in the pipeline.

• One mile of oil is worth $18,500.

What is the volume of a cylinder?

The volume of a cylinder of radius r and height h is given as follows:

$V = \pi r^2h$

Considering that the radius is half the diameter, and that each inch has 0.0833 feet, the parameters in feet for this problem are given as follows:

r = 0.25, h = 5280.

Hence the volume in cubic feet is:

V = 3.14 x (0.25)² x 5280 = 1036.2 feet³.

The number of barrels in this pipeline, considering the volume of a single barrel, is given as follows:

1036.2/5.61 = 185 barrels.

The worth of 1 mile of oil, considering the price of $100 per barrel, is given by:

185 x 100 = $18,500.

One mile of oil is worth $18,500.

More can be learned about the volume of a cylinder at brainly.com/question/9408912

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