Surface Area of Cones Practice

Question

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Question
What is the surface area, in square meters, of a cone with a slant height of 8 meters and a radius of 5 meters? Use 3.14 for pi and round to the nearest tenth, if necessary.

Answer 1

To find the surface area of a cone, we use the formula:

\[ \text{Surface Area} = \pi r (r + l) \]

where:

• \( r \) is the radius of the base,
• \( l \) is the slant height.

Given:

• \( r = 5 \) meters,
• \( l = 8 \) meters,
• \( \pi \approx 3.14 \).

Now, substitute the values into the formula:

\[ \text{Surface Area} = 3.14 \times 5 \times (5 + 8) \] \[ = 3.14 \times 5 \times 13 \] \[ = 3.14 \times 65 \] \[ \approx 204.1 \]

Thus, the surface area of the cone is approximately 204.1 square meters.