Question
Surface Area of Cones Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
1 of 51 of 5 Items
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.
Answers
GPT-4o mini
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**.
\[
\text{Surface Area} = \pi r (r + l)
\]
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**.