What is the volume in cubic inches of a pipe that has an inside diameter of 2 inches and is 20 feet long?

To find the volume of a cylindrical pipe, the formula used is ( V = \pi r^2 h ), where ( V ) is the volume, ( r ) is the radius of the cylinder, and ( h ) is the height or length of the cylinder.

First, we need to convert the diameter of the pipe to the radius. The inside diameter is given as 2 inches, so the radius ( r ) is half of that, which is 1 inch.

Next, the length of the pipe also needs to be converted to inches, since the volume calculation requires consistent units. The pipe is 20 feet long, so we convert feet to inches:

[

20 \text{ feet} \times 12 \text{ inches/foot} = 240 \text{ inches}

]

Now, we can substitute these values into the volume formula:

[

V = \pi (1 \text{ inch})^2 (240 \text{ inches})

]

[

V = \pi (1) (240)

]

[

V = 240\pi

]

Calculating ( 240\pi ) gives approximately:

[

240 \times