Question

the radius of a cylindrical construction pipe is 2.5 ft. if the pipe is 28 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 of 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 \(r = 2.5\) ft and \(h=28\) ft, and \(\pi = 3.14\).

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Step3: Calculate \(3.14\times6.25\)

\(3.14\times6.25 = 19.625\)

Step4: Calculate \(19.625\times28\)

\(19.625\times28=(20 - 0.375)\times28=20\times28-0.375\times28=560 - 10.5 = 549.5\)

Answer:

\(550\) cubic feet