Question

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 1

Answer: The barrel holds about 58.44 gallons of oil .

Explanation:

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

radius = 11 inches [half of diameter]

Volume of cylinder
`=\pi r^2h`, where r= radius and h = height.

Volume of cylinder
`=(22)/(7)*(11)^2* 35.5=13500.14\text{ cubic inches}`

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

1 cubic inch =
`(1)/(231)` gallon.

13500.14 cubic inch =
`13500.14*(1)/(231)\approx58.44\text{ gallons}`

Hence, The barrel holds about 58.44 gallons of oil .