https://file.aiquickdraw.com/mathbot/file/1725645762466g5qiqe32.jpg

The image shows a question about the surface area of a cylinder, with a formula involving \(\pi\) and instructions to round the answer to the nearest hundredth. Let's work through it:

### Problem:
The surface area of a cylinder is asked, where:
- The radius \( r \) and height \( h \) are provided.
- Use \(\pi = 3.14\).

The surface area \( A \) of a cylinder is given by the formula:
\[
A = 2\pi r (r + h)
\]

If you could confirm the given values of \( r \) and \( h \) from the image, I can calculate it for you.

Let me know if you'd like details on the calculation, or if you have any questions. Here are some related queries to explore:

1. What is the volume of this cylinder?
2. How does the surface area change if the radius is doubled?
3. What happens to the surface area if only the height is increased?
4. How does using a more accurate value of \(\pi\) (e.g., 3.14159) affect the result?
5. Can you derive the surface area formula from the cylinder's geometric properties?

**Tip**: Remember that the surface area includes both the circular top and bottom as well as the side (lateral surface).

What is the surface area of this cylinder? Use π = 3.14 and round your answer to the nearest hundredth.

Learn how to calculate the surface area of a cylinder using the formula A = 2πr(r + h). This problem uses a radius, height, and approximation for π (3.14), and the answer is rounded to the nearest hundredth. Ideal for Grades 7-9 students.

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