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To find the curved surface area (CSA) of a cylinder, you can use the following formula:

\[
\text{Curved Surface Area (CSA)} = 2\pi r h
\]

Where:
- \( r \) is the radius of the base of the cylinder
- \( h \) is the height of the cylinder
- \( \pi \) is approximately 3.14159

From the image:
- The radius \( r \) is half of the diameter, so \( r = \frac{6}{2} = 3 \, \text{m} \).
- The height \( h \) is given as \( 5 \, \text{m} \).

Now, plug in the values into the formula:

\[
\text{CSA} = 2 \times 3.14159 \times 3 \times 5
\]

Let me calculate that for you.The curved surface area of the cylinder is approximately \( 94.25 \, \text{m}^2 \), rounded to two decimal places.

Would you like further details or have any questions?

Here are 5 related questions you might find useful:
1. How do you find the total surface area of a cylinder?
2. What is the volume of this cylinder?
3. How does the curved surface area change if the radius doubles?
4. What happens to the surface area if the height increases by 50%?
5. How does the surface area formula for a cylinder compare to that of a cone?

**Tip:** Always use the correct units when calculating surface area or volume to avoid confusion!

Find the curved surface area of the cylinder to two decimal places.

Learn how to calculate the curved surface area of a cylinder with a radius of 3 meters and a height of 5 meters. This detailed solution covers key concepts in geometry and provides a step-by-step guide to using the formula for curved surface area. Perfect for students in Grades 7-9.

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