Question

the diameter of a cylindrical construction pipe is 3 ft. if the pipe is 15 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 diameter \(d = 3\) ft. The radius \(r=\frac{d}{2}\), so \(r=\frac{3}{2}=1.5\) ft.

Step2: Use the formula for the volume of a cylinder

The formula for the volume of a cylinder is \(V=\pi r^{2}h\). Here, \(\pi = 3.14\), \(r = 1.5\) ft, and \(h=15\) ft.
Substitute the values: \(V=3.14\times(1.5)^{2}\times15\).
First, calculate \((1.5)^{2}=2.25\).
Then, \(V = 3.14\times2.25\times15\).
\(3.14\times2.25 = 7.065\).
Next, \(V=7.065\times15=105.975\).

Answer:

\(106\) cubic feet