Question

question 8 (multiple choice worth 1 points) (08 02 mc) the circumference of a redwood tree trunk is 20π 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? o 1,000π ft³ o 10,000π ft³ o 4,000π ft³ o 40,000π ft³

Explanation:

Step1: Find the radius from the circumference

The formula for the circumference of a circle is $C = 2\pi r$. Given $C=20\pi$ ft, we solve for $r$.
$20\pi=2\pi r$, so $r = 10$ ft.

Step2: Calculate the volume of the cylinder

The formula for the volume of a cylinder is $V=\pi r^{2}h$. Substitute $r = 10$ ft and $h = 100$ ft into the formula.
$V=\pi\times(10)^{2}\times100=\pi\times100\times100 = 10000\pi$ $ft^{3}$

Answer:

$10,000\pi$ $ft^{3}$ (corresponding to the third - option in the multiple - choice list shown in the image)