Question

what is the approximate volume of the cylinder? use 3.14 for π. diagram of a green cylinder with height labeled 8 cm and radius (from center to edge) labeled 6 cm options: 301.44 cm³, 226.08 cm³, 904.32 cm³, 150.72 cm³

Explanation:

Step1: Recall 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 diagram, the radius \( r = 6\space\text{cm}\) and the height \( h=8\space\text{cm}\), and we use \( \pi = 3.14 \).

Step3: Calculate \( r^{2} \)

First, calculate \( r^{2} \): \( r^{2}=6^{2}=36 \).

Step4: Calculate \( \pi r^{2} \)

Then, calculate \( \pi r^{2} \): \( 3.14\times36 = 113.04 \).

Step5: Calculate the volume \( V \)

Finally, multiply by the height \( h \) to get the volume: \( V=113.04\times8 = 904.32\space\text{cm}^3 \).

Answer:

\( 904.32\space\text{cm}^3 \)