Question

Surface Area of Cones Practice
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Question
A waffle cone is in the shape of a cone with a slant height of 8 inches and a radius of 3 inches. A baker wants to know the surface area of the cone in order to cover the cone with melted chocolate. What is the surface area of the side of the cone in square inches? Use 3.14 for pi and round your answer to the nearest hundredth

Answer 1

To find the surface area of the side (lateral surface area) of a cone, you can use the formula:

\[
\text{Lateral Surface Area} = \pi r l
\]

where:
- \( r \) is the radius of the base of the cone,
- \( l \) is the slant height of the cone, and
- \( \pi \) can be approximated as 3.14.

Given:
- Radius (\( r \)) = 3 inches
- Slant height (\( l \)) = 8 inches

Now plug in the values:

\[
\text{Lateral Surface Area} = 3.14 \times 3 \times 8
\]

First, calculate \( 3 \times 8 \):

\[
3 \times 8 = 24
\]

Then multiply by \( \pi \):

\[
\text{Lateral Surface Area} = 3.14 \times 24 = 75.36
\]

Thus, the lateral surface area of the cone is:

\[
\text{Lateral Surface Area} \approx 75.36 \text{ square inches}
\]

So, the final answer rounded to the nearest hundredth is:

**75.36 square inches.**