A barrel filled with oil is a cylinder with a diameter of 22 inches and a height of 35.5 inches. There are 231 cubic inches in a liquid gallon, how many gallons of oil does the barrel hold

Answer: The barrel holds about 58.44 gallons of oil .

Step-by-step explanation:

Given : For cylinder , diameter = 22 inches and height = 35.5 inches

radius = 11 inches [half of diameter]

Volume of cylinder  [tex]=\pi r^2h[/tex], where r= radius and h = height.

Volume of cylinder  [tex]=\dfrac{22}{7}\times(11)^2\times 35.5=13500.14\text{ cubic inches}[/tex]

Since, There are 231 cubic inches in a liquid gallon, so.

1 cubic inch = [tex]\dfrac{1}{231}[/tex] gallon.

13500.14 cubic inch = [tex]13500.14\times\dfrac{1}{231}\approx58.44\text{ gallons}[/tex]

Hence, The barrel holds about 58.44 gallons of oil .

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