A waffle cone is in the shape of a cone with a slant height of 8 inches and a radius of three inches. A Baker wants to know the surface area of the cone in order to cover the cone with melted chocolate. What is a surface area of the side of the cone in square inches? Use 3.14 for Pi and Rounder answer to the nearest hundredth

Answer 1

To find the surface area of the side of a cone, we use the formula for the lateral surface area of a cone, which is given by:

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

where:

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

Given:

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

Now, substituting the values into the formula:

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

Calculating it step-by-step:

1. Calculate \( 3 \times 8 = 24 \).
2. Now multiply \( 3.14 \times 24 \):

\[ 3.14 \times 24 = 75.36 \]

Thus, the lateral surface area of the cone is \( 75.36 \) square inches.

Therefore, the final rounded answer is:

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