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
, where r= radius and h = height.
Volume of cylinder

Since, There are 231 cubic inches in a liquid gallon, so.
1 cubic inch =
gallon.
13500.14 cubic inch =

Hence, The barrel holds about 58.44 gallons of oil .