Question

what is the volume of this cylinder in cubic centimeters?
4 cm
5 cm
20π 40π 80π 100π

Explanation:

Step1: Recall cylinder volume formula

The volume \( V \) of a cylinder is given by \( V = \pi r^2 h \), where \( r \) is the radius and \( h \) is the height.

Step2: Identify radius and height

From the diagram, the radius \( r = 4 \) cm and the height \( h = 5 \) cm.

Step3: Substitute values into formula

Substitute \( r = 4 \) and \( h = 5 \) into the formula: \( V = \pi \times 4^2 \times 5 \).

Step4: Calculate the result

First, calculate \( 4^2 = 16 \). Then, \( 16 \times 5 = 80 \). So, \( V = 80\pi \) cubic centimeters.

Answer:

\( 80\pi \) (corresponding to the option with \( 80\pi \))