Question

the radius of a cylindrical construction pipe is 6 ft, and its length is 16 ft. answer the parts below. make sure that you use the correct units in your answers. (a) find the exact volume of the pipe. write your answer in terms of π. exact volume:

Explanation:

Step1: Recall cylinder 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 given values

We are given that $r = 6$ ft and $h=16$ ft. Substitute these values into the formula: $V=\pi\times(6)^{2}\times16$.

Step3: Calculate the volume

First, $(6)^{2}=36$. Then, $V=\pi\times36\times16 = 576\pi$ cubic - feet.

Answer:

$576\pi$ ft³