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 .
