Question

a grain silo has a cylindrical shape. its diameter is 14 ft, and its height is 35 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, and the radius $r=\frac{d}{2}=\frac{14}{2}=7$ ft.

Step2: Use the cylinder - volume formula

The volume formula of a cylinder is $V=\pi r^{2}h$. Substitute $r = 7$ ft, $h = 35$ ft and $\pi=3.14$ into the formula. So $V=3.14\times7^{2}\times35$.
First, calculate $7^{2}=49$. Then $V = 3.14\times49\times35$.
$3.14\times49 = 153.86$, and $153.86\times35=5385.1$.

Step3: Round the result

Rounding $5385.1$ to the nearest whole number gives $5385$.

Answer:

$5385$ ft³