Question
The radius of a cylindrical construction pipe is 2ft. If the pipe is 17ft long, what is its volume. Use the value 3.14 for pie and round your answer to the nearest whole number. Be sure to include the correct unit in your answer
Answers
GPT-4o mini
To calculate the volume of a cylindrical pipe, we can use the formula for the volume of a cylinder:
\[
V = \pi r^2 h
\]
Where:
- \( V \) is the volume,
- \( r \) is the radius,
- \( h \) is the height (or length of the cylinder), and
- \( \pi \) is approximately 3.14.
Given:
- Radius \( r = 2 \) ft,
- Height \( h = 17 \) ft,
- \( \pi \approx 3.14 \).
Now, substituting the values into the formula:
\[
V = 3.14 \times (2^2) \times 17
\]
Calculating \( 2^2 \):
\[
2^2 = 4
\]
Now, substitute \( 4 \) back into the volume formula:
\[
V = 3.14 \times 4 \times 17
\]
Calculating \( 4 \times 17 \):
\[
4 \times 17 = 68
\]
Now we can calculate the volume:
\[
V = 3.14 \times 68
\]
Calculating \( 3.14 \times 68 \):
\[
V \approx 213.52
\]
Finally, rounding to the nearest whole number:
\[
V \approx 214
\]
Thus, the volume of the cylindrical pipe is approximately **214 cubic feet**.
\[
V = \pi r^2 h
\]
Where:
- \( V \) is the volume,
- \( r \) is the radius,
- \( h \) is the height (or length of the cylinder), and
- \( \pi \) is approximately 3.14.
Given:
- Radius \( r = 2 \) ft,
- Height \( h = 17 \) ft,
- \( \pi \approx 3.14 \).
Now, substituting the values into the formula:
\[
V = 3.14 \times (2^2) \times 17
\]
Calculating \( 2^2 \):
\[
2^2 = 4
\]
Now, substitute \( 4 \) back into the volume formula:
\[
V = 3.14 \times 4 \times 17
\]
Calculating \( 4 \times 17 \):
\[
4 \times 17 = 68
\]
Now we can calculate the volume:
\[
V = 3.14 \times 68
\]
Calculating \( 3.14 \times 68 \):
\[
V \approx 213.52
\]
Finally, rounding to the nearest whole number:
\[
V \approx 214
\]
Thus, the volume of the cylindrical pipe is approximately **214 cubic feet**.