Respuesta :
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 [tex]\frac{22}{2}=11 \text{ inches}[/tex]
And height of the cylindrical barrel is 33.5 inches.
So the volume of oil in the cylindrical barrel is
[tex]=\pi r^2 h\\=\pi (11)^2(33.5)\\\\\approx 12734.45 \text{ cubic inches}[/tex]
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 [tex]=\frac{1}{231} \text{ gallon}[/tex]
[tex]\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}[/tex]
