Question

the diameter of a cylindrical construction pipe is 4 ft. if the pipe is 21 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 \(r\) of a circle is half of the diameter \(d\). Given \(d = 4\) ft, so \(r=\frac{d}{2}=\frac{4}{2}=2\) ft.

Step2: Use the volume formula for a cylinder

The volume formula for a cylinder is \(V=\pi r^{2}h\), where \(h\) is the height (or length) of the cylinder. Here, \(\pi = 3.14\), \(r = 2\) ft, and \(h=21\) ft.
Substitute the values into the formula: \(V=3.14\times2^{2}\times21\).
First, calculate \(2^{2}=4\). Then the formula becomes \(V = 3.14\times4\times21\).
\(3.14\times4=12.56\), and then \(12.56\times21 = 263.76\).

Answer:

\(264\) cubic feet.