To find the volume of the cylinder, we use the formula for the volume of a cylinder:

$V = \pi r^2 h$

Where:

• $r$ is the radius of the base,
• $h$ is the height of the cylinder,
• $\pi \approx 3.14$.

From the image:

• The radius $r$ is given as 9 inches.
• The height $h$ is given as 5 inches.

Now, substituting the values into the formula:

$V = 3.14 \times (9)^2 \times 5$

$V = 3.14 \times 81 \times 5$

$V = 3.14 \times 405$

$V = 1271.7 \, \text{cubic inches}$

Thus, the volume of the cylinder is approximately 1271.7 cubic inches.

Would you like more details on the calculation, or have any other questions?

Follow-up Questions:

1. How does the formula for the volume of a cylinder differ from that of a cone?
2. What is the surface area of this cylinder?
3. How would the volume change if the radius were doubled?
4. What units are typically used for volume, and why?
5. Can you relate this problem to real-life objects that resemble cylinders?

Tip:

Always ensure that the units are consistent throughout the calculation, especially when working with different measurement systems (e.g., metric vs. imperial).