Question

the diameter of a cylindrical construction pipe is 4 ft. if the pipe is 17 ft long, what is its 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.

Explanation:

Step1: Find the radius

The radius $r$ is half of the diameter. Given diameter $d = 4$ ft, so $r=\frac{d}{2}=\frac{4}{2}=2$ ft.

Step2: Use the volume formula for a cylinder

The volume formula of a cylinder is $V=\pi r^{2}h$. Here, $r = 2$ ft, $h=17$ ft and $\pi = 3.14$. Substitute the values: $V=3.14\times2^{2}\times17$.

Step3: Calculate the volume

First, $2^{2}=4$. Then $V=3.14\times4\times17=3.14\times68 = 213.52$ $ft^{3}$.

Step4: Round the answer

Rounding $213.52$ to the nearest whole number gives $214$ $ft^{3}$.

Answer:

$214$ $ft^{3}$