If a pipe has an inside diameter of 3 inches and it is 20 feet long, what is its volume?

• A. 0.75 cubic feet
• B. 0.98 cubic feet
• C. 1.15 cubic feet
• D. 1.30 cubic feet

Answer: (B)

To find the volume of a pipe, you can use the formula for the volume of a cylinder:

[ \text{Volume} = \pi r^2 h ]

where ( r ) is the radius and ( h ) is the height (or length of the pipe in this case).

1. Calculate the radius of the pipe:

• The diameter is given as 3 inches, so the radius ( r ) would be half of that:

[ r = \frac{3}{2} = 1.5 \text{ inches} ]

2. Convert the radius to feet since the length is given in feet:

• ( 1.5 \text{ inches} = \frac{1.5}{12} = 0.125 \text{ feet} )

3. The length of the pipe is already in feet, stated as 20 feet.

4. Substitute the values into the volume formula:

[

\text{Volume} = \pi (0.125)^2 (20)

]

[

= \pi (0.015625)(20)

]

[

= \pi