Question

a grain silo has a cylindrical shape. its diameter is 17 ft, and its height is 39 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 radius $r$ is half of the diameter. Given diameter $d = 17$ ft, so $r=\frac{d}{2}=\frac{17}{2}=8.5$ ft.

Step2: Use the cylinder - volume formula

The volume formula for a cylinder is $V=\pi r^{2}h$. Substitute $\pi = 3.14$, $r = 8.5$ ft and $h = 39$ ft into the formula.
$V=3.14\times(8.5)^{2}\times39$.
First, calculate $(8.5)^{2}=72.25$. Then $V = 3.14\times72.25\times39$.
$3.14\times72.25 = 226.865$.
$V=226.865\times39=8847.735$ $ft^{3}$.

Step3: Round the answer

Rounding $8847.735$ to the nearest whole number gives $8848$ $ft^{3}$.

Answer:

$8848$ $ft^{3}$