Question

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a grain silo has a cylindrical shape. its radius is 8 ft, and its height is 34 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: Recall volume formula for cylinder

The volume formula for a cylinder is $V=\pi r^{2}h$, where $r$ is the radius and $h$ is the height.

Step2: Substitute given values

We are given $r = 8$ ft and $h=34$ ft, and $\pi = 3.14$. So $V=3.14\times8^{2}\times34$.
First, calculate $8^{2}=64$. Then $V = 3.14\times64\times34$.
$3.14\times64 = 200.96$, and $200.96\times34=6832.64$.

Step3: Round to nearest whole number

Rounding $6832.64$ to the nearest whole number gives $6833$.

Answer:

$6833$ ft³