A cone-shaped megaphone has a radius of 15 centimeters and a slant height of 20 centimeters. A megaphone has an open bottom. What is the lateral surface area of the megaphone, in square centimeters? Use 3.14 for pi.(1 point)

Question

Responses

1,884 square centimeters
1,884 square centimeters

942 square centimeters
942 square centimeters

1,648.5 square centimeters
1,648.5 square centimeters

109.9 square centimeters
109.9 square centimeters

Answer 1

To find 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,
• \( l \) is the slant height of the cone.

Given:

• Radius (\( r \)) = 15 cm
• Slant height (\( l \)) = 20 cm
• Use \( \pi \approx 3.14 \)

Now, substitute the values into the formula:

\[ \text{Lateral Surface Area} = 3.14 \times 15 \times 20 \]

Calculating the multiplication step-by-step:

1. Calculate \( 15 \times 20 = 300 \)
2. Now multiply by \( 3.14 \): \[ 3.14 \times 300 = 942 \]

Thus, the lateral surface area of the megaphone is \( 942 \) square centimeters.

The correct response is:

942 square centimeters.