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 of the cone (lateral surface area), we use the formula:

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

where:

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

Given:

• \( r = 3 \) inches,
• \( l = 8 \) inches,
• \( \pi \approx 3.14 \).

Now we can plug the values into the formula:

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

Calculating:

1. First, multiply \( 3 \) and \( 8 \):

\[ 3 \times 8 = 24 \]

2. Then multiply by \( 3.14 \):

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

Thus, the surface area of the side of the cone is

\[ \boxed{75.36} \text{ square inches}. \]