Question

a grain silo has a cylindrical shape. its diameter is 14 ft, and its height is 41 ft. what is the volume of the silo? 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 \(d = 14\) ft. The radius \(r=\frac{d}{2}\), so \(r=\frac{14}{2}=7\) ft.

Step2: Use the formula for the volume of a cylinder

The formula for the volume of a cylinder is \(V=\pi r^{2}h\). Substitute \(\pi = 3.14\), \(r = 7\) ft, and \(h=41\) ft.

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Step3: Round to the nearest whole number

\(6308.26\approx6308\)

Answer:

\(6308\mathrm{ft}^{3}\)