Question

the surface area of a cone
radius=6
slant height=11

Answer 1

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

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

where:
- \( r \) is the radius of the base of the cone,
- \( l \) is the slant height of the cone.

Given:
- Radius \( r = 6 \)
- Slant height \( l = 11 \)

Let's plug in the values:

\[
\text{Surface Area} = \pi \times 6 \times (6 + 11)
\]
\[
= \pi \times 6 \times 17
\]
\[
= 102\pi
\]

To find the numerical value, use \( \pi \approx 3.14 \):

\[
\text{Surface Area} \approx 102 \times 3.14 \approx 320.28
\]

Thus, the surface area of the cone is:

\[
\text{Surface Area} \approx 102\pi \text{ or } 320.28 \text{ square units.}
\]