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]
The volume of cylinder is 238.44 gallons
We have given that,diameter of 3 feet,height=4.5
The volume of a cylinder is equal to,
[tex]V=\pi r^{2}h[/tex]
[tex]h=4.5ft[/tex]
[tex]r=3/2=1.5ft[/tex] -----> the radius is half the diameter
substitute
[tex]V=(3.14)(1.5)^2(4.5)[/tex]
[tex]V=31.7925ft^3[/tex]
We have convert this volume in gallons so we get,
We have given that 1 cubic feet=7.5 gallons.
Therefore, we get volume
[tex]31.7925ft^3(7.5)=238.44gallons[/tex]
[tex]V=238.44 gallons[/tex]
Therefore, we get the volume is 238.44 gallons
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