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

Answer:

Approximately $238\ gallons$

Step-by-step 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

$31.7925\ ft^{3}*7.5=238.44\ gallons$