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

Answer:

55 gallons

Step-by-step explanation:

Given that the diameter of the cylindrical barrel is 22 inches, so the radius of the barrel is $\frac{22}{2}=11 \text{ inches}$

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 $=\frac{1}{231} \text{ gallon}$

$\text{12734.45 cubic inches oil will go in}=\frac{1}{231}\times 12734.45\approx 55.12 \text{ gallons}\\\\\text{hence there are approximately 55 gallons of oil in the barrel}$