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The image you provided contains a question related to a cylinder. I'll extract the mathematical details and solve the problem.

### Problem:
The question appears to involve finding the surface area of a cylinder. The key details are:
- Height \( h = 9 \) cm
- Radius \( r = 3 \) cm

### Solution:
The total surface area \( A \) of a cylinder is calculated using the formula:

\[
A = 2\pi r(h + r)
\]

Substituting the given values:

\[
A = 2\pi (3)(9 + 3) = 2\pi (3)(12) = 72\pi \text{ cm}^2
\]

To get the numerical value:

\[
A \approx 72 \times 3.1416 \approx 226.195 \text{ cm}^2
\]

So, the total surface area is approximately **226.20 cm²**.

Would you like further details or have any questions? Here are some related questions for deeper understanding:

1. How does the surface area change if the radius is doubled?
2. What is the formula for the volume of a cylinder, and how would it be applied to this cylinder?
3. How does the surface area of a cylinder compare to that of a cone with the same base and height?
4. What happens to the surface area if the height is halved while keeping the radius constant?
5. Can you derive the formula for the lateral surface area of a cylinder?

**Tip:** Remember that in many geometry problems, knowing both the formula and the relationships between the dimensions is key to solving and verifying your answers effectively.

What is the total surface area of a cylinder with height 9 cm and radius 3 cm?

Learn how to calculate the total surface area of a cylinder with a height of 9 cm and a radius of 3 cm. This problem involves key geometry concepts, including the surface area formula for cylinders. Suitable for students in Grades 6-8.

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