Question

A city sewer pipe has a diameter of 6 ft and a length of 200 ft. Find the volume of the pipe. Use 3.14 as the approximate value of pi.
6 ft
200 ft
Question content area bottom
Part 1
The volume is

Answer 1

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

\[
V = \pi r^2 h
\]

where:
- \( V \) is the volume,
- \( r \) is the radius of the cylinder,
- \( h \) is the height (or length) of the cylinder.

1. **Find the radius**:
The diameter of the pipe is 6 ft, so the radius \( r \) is half of the diameter:
\[
r = \frac{d}{2} = \frac{6 \, \text{ft}}{2} = 3 \, \text{ft}
\]

2. **Use the length of the pipe**:
The length \( h \) of the pipe is given as 200 ft.

3. **Plug the values into the volume formula**:
Using \( \pi \approx 3.14 \):
\[
V = 3.14 \times (3 \, \text{ft})^2 \times 200 \, \text{ft}
\]
\[
V = 3.14 \times 9 \, \text{ft}^2 \times 200 \, \text{ft}
\]
\[
V = 3.14 \times 1800 \, \text{ft}^3
\]
\[
V = 5652 \, \text{ft}^3
\]

Thus, the volume of the pipe is **5652 cubic feet**.