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.

Question

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. (1 point)
square inches

Answer 1

To find the surface area of the side (the 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, and \( l \) is the slant height of the cone.

Given:

• Radius \( r = 3 \) inches
• Slant height \( l = 8 \) inches
• Using \( \pi \approx 3.14 \)

Now, substitute the values into the formula:

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

Calculating step by step:

1. Calculate \( 3 \times 8 \):

   \[ 3 \times 8 = 24 \]

2. Now, calculate \( 3.14 \times 24 \):

   \[ 3.14 \times 24 = 75.36 \]

Thus, the lateral surface area of the cone (the surface area of the side) is:

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