Question

A barrel filled with oil is a cylinder with a diameter of 22 inches and a height of 33.5 inches. There are 231 cubic inches in a liquid gallon. To the nearest gallon, how many gallons of oil does the barrel hold?

Answer 1

55

Explanation:

Answer 2

55 gallons

Explanation:

Given that the diameter of the cylindrical barrel is 22 inches, so the radius of the barrel is
`(22)/(2)=11 \text{ inches}`

And height of the cylindrical barrel is 33.5 inches.

So the volume of oil in the cylindrical barrel is

`=\pi r^2 h\\=\pi (11)^2(33.5)\\\\\approx 12734.45 \text{ cubic inches}`

Also given that there are 231 cubic inches in a liquid gallon, so to find the number of gallons of oil in barrel, we use unitary method.

231 cubic inches goes in = 1 gallon

1 cubic inches will go in
`=(1)/(231) \text{ gallon}`

`\text{12734.45 cubic inches oil will go in}=(1)/(231)* 12734.45\approx 55.12 \text{ gallons}\\\\\text{hence there are approximately 55 gallons of oil in the barrel}`