Question

what is the volume of the cylinder below? a. 204π² units³ b. 408π units³ c. 204π units³ d. 2448π units³

Explanation:

Step1: Write the formula for the volume of a cylinder

The formula for the volume \( V \) of a cylinder is \( V=\pi r^{2}h \), where \( r \) is the radius and \( h \) is the height.

Step2: Identify the values of \( r \) and \( h \)

From the problem, \( r = 12 \) and \( h=17 \).

Step3: Substitute the values into the formula

Substitute \( r = 12 \) and \( h = 17 \) into \( V=\pi r^{2}h \).

$$
LATEXBLOCK0
$$

Answer:

D. \( 2448\pi \) units\( ^{3} \)