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.(1 point)square inches

1 answer

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

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

where:

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

Given:

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

Now, substitute the values into the formula:

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

Calculating this step by step:

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

\[ 3.14 \times 24 = 75.36 \]

Therefore, the surface area of the side of the cone is approximately:

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