Question

the diameter of a cylindrical construction pipe is 6 ft. if the pipe is 24 ft long, what is its yolume? 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. 6 ft 24 ft

Explanation:

Step1: Find the radius of the cylinder

The formula for the radius \(r\) of a circle is \(r=\frac{d}{2}\), where \(d\) is the diameter. Given \(d = 6\) ft, so \(r=\frac{6}{2}=3\) ft.

Step2: Use the formula for the volume of a cylinder

The volume formula of a cylinder is \(V=\pi r^{2}h\), where \(h\) is the height (or length) of the cylinder. Substitute \(\pi = 3.14\), \(r = 3\) ft, and \(h=24\) ft into the formula:

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Step3: Round the result

Round \(678.24\) to the nearest whole number. Since the decimal part \(0.24<0.5\), the rounded value is \(678\).

Answer:

\(678\) \(ft^{3}\)