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A large concrete water pipe is being laid underground. The pipe has a diameter of 24 inches and is laid in 40 foot sections. How many cubic feet of water does each section hold? Express your answer in terms of pi. Show all calculations.


Answer correcty please!!

Respuesta :

okay so I'm going to be honest I'm not fully sure if my answer is correct but I think that you must add it up and they answer that you will get is 64 because remember 4 + 2 equals 6 and 4 + 0 equal 4

Answer:

[tex]40\pi\text{ cubic feet}[/tex]

Step-by-step explanation:

Given,

The diameter of the pipe = 24 inches,

⇒ The diameter of the section = 24 inches

And, it is laid in 40 foot section,

So, the height of each section = 40 feet,

Since, the shape of a pipe is cylindrical,

The volume of a cylinder is,

[tex]V=\pi (r)^2 h[/tex]

Where, r is the radius,

h is its height,

Here, r = [tex]\frac{24}{2}[/tex] = 12 inches = 1 feet,

Also, h = 40 foot,

Thus, the quantity of water hold by the section = Volume of the section

[tex]=\pi (1)^2(40)[/tex]

[tex]=40\pi \text{ cubic feet}[/tex]

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