Question

a grain silo has a cylindrical shape. its diameter is 17 ft, and its height is 34 ft. what is the 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.
17 ft
34 ft

Explanation:

Step1: Find the radius

The formula for the radius \(r\) of a circle is \(r=\frac{d}{2}\), where \(d\) is the diameter. Given \(d = 17\) ft, so \(r=\frac{17}{2}=8.5\) ft.

Step2: Use the volume formula for a cylinder

The volume formula for a cylinder is \(V=\pi r^{2}h\). Substitute \(\pi = 3.14\), \(r = 8.5\) ft, and \(h=34\) ft into the formula.
First, calculate \(r^{2}\): \(r^{2}=(8.5)^{2}=72.25\).
Then, calculate \(V\): \(V = 3.14\times72.25\times34\).
\(V=3.14\times72.25\times34=(3.14\times72.25)\times34\).
\(3.14\times72.25 = 226.865\).
\(V=226.865\times34 = 7713.41\).

Answer:

\(7713\) cubic feet