What is the volume of a cylinder with a radius of 3 units and a height of 8 units?*72π cubic units24π cubic units36π cubic units

1. ### Break Down the Problem

To find the volume $V$ of a cylinder, we can use the formula: $V = \pi r^2 h$ where $r$ is the radius and $h$ is the height.

2. ### Relevant Concepts

Given:

• Radius $r = 3$ units
• Height $h = 8$ units

3. ### Analysis and Detail

Substituting the values of $r$ and $h$ into the volume formula:

$V = \pi (3)^2 (8)$

Calculating step-by-step:

1. Calculate $r^2$: $(3)^2 = 9$

2. Multiply by the height $h$: $9 \times 8 = 72$

3. Multiply by $\pi$: $V = 72\pi$

4. ### Verify and Summarize

We found the volume to be $72\pi$. There are no further calculations needed, and this formula is verified.

Final Answer

The volume of the cylinder is $72\pi$ cubic units.