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To calculate the curved surface area of a cylinder, we use the formula:

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

Where:
- \( r \) is the radius of the base.
- \( h \) is the height of the cylinder.

From the image:
- The height (\( h \)) is 6 cm.
- The diameter of the base is 8 cm, so the radius (\( r \)) is half of that: \( r = \frac{8}{2} = 4 \, \text{cm} \).

Now, substituting these values into the formula:

\[
CSA = 2 \pi (4)(6) = 48 \pi \, \text{cm}^2
\]

Thus, the curved surface area is:

\[
CSA \approx 48 \times 3.1416 = 150.8 \, \text{cm}^2
\]

The curved surface area is approximately **150.8 cm²**.

Would you like any further details or clarifications?

Here are 5 related questions to consider:
1. How do you find the total surface area of a cylinder?
2. How is the volume of a cylinder calculated?
3. What is the surface area of the two circular ends of the cylinder?
4. How would the surface area change if the height of the cylinder was doubled?
5. What if the cylinder was hollow—how would you calculate the inner curved surface area?

**Tip:** When solving surface area problems, remember to differentiate between "curved surface area" (lateral area) and "total surface area," which includes the areas of the two circular bases.

Calculate the curved surface area of a cylinder with a height of 6 cm and a diameter of 8 cm.

Learn how to calculate the curved surface area of a cylinder with a height of 6 cm and a diameter of 8 cm using the formula CSA = 2πrh. Detailed step-by-step solution for students in Grades 6-8.

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