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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?

Respuesta :

calculista

Answer:

Approximately [tex]238\ gallons[/tex]

Step-by-step explanation:

we know that

The volume of a cylinder (barrel) is equal to

[tex]V=\pi r^{2}h[/tex]

in this problem we have

[tex]h=4.5\ ft[/tex]

[tex]r=3/2=1.5\ ft[/tex] -----> the radius is half the diameter

substitute

[tex]V=(3.14)(1.5^{2})(4.5)=31.7925\ ft^{3}[/tex]

Convert to gallons

[tex]31.7925\ ft^{3}*7.5=238.44\ gallons[/tex]

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