https://file.aiquickdraw.com/mathbot/file/17272834960256u1n2wyo.jpg

To solve this problem, we need to calculate the curved surface area (CSA) of the cone. The formula for the curved surface area of a cone is given by:

\[
\text{CSA} = \pi r l
\]

where:
- \(r\) is the radius of the base,
- \(l\) is the slant height, and
- \(\pi\) is approximately 3.14159.

From the image:
- The diameter of the base is 8 cm, so the radius \(r\) is \( \frac{8}{2} = 4 \) cm.
- The slant height \(l\) is given as 19 cm.

Now, plugging these values into the formula:

\[
\text{CSA} = \pi \times 4 \times 19
\]

Let's calculate this.The curved surface area of the cone is approximately **239 cm²**, rounded to the nearest integer.

Would you like more details or have any questions?

Here are some related questions:
1. How do you calculate the total surface area of a cone, including the base?
2. What is the volume of a cone with the same dimensions?
3. How would the curved surface area change if the radius was doubled but the slant height remained the same?
4. What happens to the surface area if the slant height is halved?
5. How is the slant height related to the height of the cone?

**Tip:** When working with cones, always differentiate between the slant height and the perpendicular height when calculating surface areas and volumes.

Work out the curved surface area of the cone. Give your answer to the nearest integer and remember to give the correct units. The cone has a base diameter of 8 cm and a slant height of 19 cm.

Learn how to calculate the curved surface area of a cone with a base diameter of 8 cm and a slant height of 19 cm. This step-by-step guide explains the key formula (CSA = π * r * l) and gives the answer rounded to the nearest integer. Perfect for students in Grades 6-8.

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