Question

A spyglass in the shape of a cone has a slant height of 18 centimeters and a radius of 6 centimeters. What is the surface area of the spyglass? Use 3.14 for pi.(1 point) Responses 452.16 square centimeters 452.16 square centimeters 1,356.48 square centimeters 1,356.48 square centimeters 197.82 square centimeters 197.82 square centimeters 339.12 square centimeters

Answer 1

To find the surface area of a cone, we can use the formula:

\[ \text{Surface Area} = \pi r (r + l) \]

where:

• \( r \) is the radius,
• \( l \) is the slant height,
• \( \pi \) is approximately 3.14.

Given:

• \( r = 6 \) cm
• \( l = 18 \) cm

Now substitute the values into the formula:

1. Calculate \( r + l \): \[ r + l = 6 + 18 = 24 \]

2. Calculate the surface area: \[ \text{Surface Area} = \pi r (r + l) \] \[ \text{Surface Area} = 3.14 \times 6 \times 24 \] \[ \text{Surface Area} = 3.14 \times 144 \] \[ \text{Surface Area} = 452.16 , \text{square centimeters} \]

Thus, the surface area of the spyglass is 452.16 square centimeters.