Question

the circumference of a redwood tree trunk is 18π ft, and it is 100 ft tall. using a right - cylinder to model the trunk, what is the approximate volume of the redwood tree trunk? 810π ft³ 3,240π ft³ 8,100π ft³ 32,400π ft³

Explanation:

Step1: Find the radius from the circumference

The formula for the circumference of a circle is $C = 2\pi r$. Given $C=18\pi$, we solve for $r$:
$18\pi=2\pi r$, so $r = 9$ ft.

Step2: Calculate the volume of the cylinder

The formula for the volume of a cylinder is $V=\pi r^{2}h$. Substitute $r = 9$ ft and $h = 100$ ft into the formula:
$V=\pi\times9^{2}\times100=\pi\times81\times100 = 8100\pi$ ft³.

Answer:

$8,100\pi$ ft³