A cylindrical rain barrel has a radius of 2 feet and holds a total of 30 cubic feet of water. How tall is the rain barrel? Use 3.14 for pi. Round your answer to the nearest hundredth.

to find the answer u are looking for we must first come up with out eqaution.
lets use the equation (3.14)(2^2)=30. first we must do the 2 squared which gives us 4 resulting in (3.14)4=30 now we multiply pi with 4 resulting in 12.56=30 now we do the division... and my answer is 2.39 i am not sure if this is right though so take caution when using my response

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boffeemadrid boffeemadrid · Answer 2 · 2021-10-22T10:07:52+02:00

The height of the rain barrel is required.

The height of the barrel is 2.39 feet.

r = Radius of barrel = 2 feet

V = Volume of barrel = 30 cubic feet

h = Height of barrel

Since, the barrel is cylindrical the volume of the barrel is

[tex]V=\pi r^2h\\\Rightarrow h=\dfrac{V}{\pi r^2}\\\Rightarrow h=\dfrac{30}{3.14\times 2^2}\\\Rightarrow h=2.3885\approx 2.39\ \text{feet}[/tex]

The height of the barrel is 2.39 feet.

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