Surface Area of Cones Quick Check

Question

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Question
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)
Responses

1,648.5 square centimeters
1,648.5 square centimeters

109.9 square centimeters
109.9 square centimeters

1,884 square centimeters
1,884 square centimeters

942 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 (15 cm in this case),
• \( l \) is the slant height (20 cm in this case),
• \( \pi \) is approximately 3.14.

Substituting the values:

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

Calculating it:

1. \( 15 \times 20 = 300 \)
2. \( 3.14 \times 300 = 942 \)

So the lateral surface area of the megaphone is 942 square centimeters.

Response: 942 square centimeters.