Question

the radius of a cylindrical construction pipe is 3.5 ft. if the pipe is 36 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: Recall volume formula

The volume formula for a cylinder is $V = \pi r^{2}h$, where $r$ is the radius and $h$ is the height (or length in this case).

Step2: Substitute values

Given $r = 3.5$ ft, $h=36$ ft and $\pi = 3.14$. Substitute into the formula: $V=3.14\times(3.5)^{2}\times36$.
First, calculate $(3.5)^{2}=3.5\times3.5 = 12.25$.
Then, $V = 3.14\times12.25\times36$.
$3.14\times12.25 = 38.465$.
$V=38.465\times36=1384.74$.

Step3: Round the result

Round $1384.74$ to the nearest whole number. Since the decimal part is $0.74>0.5$, we round up. So $V\approx1385$.

Answer:

$1385$ cubic - feet