Question

Mike has a barrel in the barn to keep water for his cows. The barrel is 4.5 feet tall and has a diameter of 3 feet. Approximately how many gallons of water will the barrel hold if 1 cubic foot ≈ 7.5 gallons?

Answer 1

Approximately
`238\ gallons`

Explanation:

we know that

The volume of a cylinder (barrel) is equal to

`V=\pi r^(2)h`

in this problem we have

`h=4.5\ ft`

`r=3/2=1.5\ ft` -----> the radius is half the diameter

substitute

`V=(3.14)(1.5^(2))(4.5)=31.7925\ ft^(3)`

Convert to gallons

`31.7925\ ft^(3)*7.5=238.44\ gallons`