Question

the radius of a cylindrical construction pipe is 3.5 ft. if the pipe is 39 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: Recall the formula for the volume of a cylinder

The volume formula for a cylinder is \(V=\pi r^{2}h\), where \(r\) is the radius and \(h\) is the height (or length in this case).

Step2: Substitute the given values into the formula

Given \(r = 3.5\) ft, \(h=39\) ft, and \(\pi = 3.14\). First, calculate \(r^{2}\): \(r^{2}=(3.5)^{2}=3.5\times3.5 = 12.25\). Then substitute into the formula: \(V=3.14\times12.25\times39\).

Step3: Perform the multiplications

First, \(3.14\times12.25 = 38.465\). Then, \(38.465\times39=1500.135\).

Answer:

\(1500\) \(ft^{3}\)