Question

the diameter of a cylindrical construction pipe is 6 ft. if the pipe is 25 ft long, what is its volume? use the value 3.14 for π, and round your answer to the nearest whole number. be sure to include the correct unit in your answer.

Explanation:

Step1: Find the radius

The radius \(r\) is half of the diameter. Given diameter \(d = 6\) ft, so \(r=\frac{d}{2}=\frac{6}{2}=3\) ft.

Step2: Use the volume formula for a cylinder

The volume formula for a cylinder is \(V=\pi r^{2}h\). Here, \(\pi = 3.14\), \(r = 3\) ft, and \(h=25\) ft.
Substitute the values into the formula: \(V=3.14\times3^{2}\times25\).
First, calculate \(3^{2}=9\). Then \(V = 3.14\times9\times25\).
\(3.14\times9 = 28.26\), and \(28.26\times25=706.5\).

Answer:

\(707\) cubic feet