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

942 square centimeters
942 square centimeters

109.9 square centimeters
109.9 square centimeters

1,884 square centimeters
1,884 square centimeters

1,648.5 square centimeters

Answer 1

To find the lateral surface area \( A \) of a cone, you can use the formula:

\[ A = \pi r l \]

where:

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

Given:

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

Substituting the values into the formula:

\[ A = 3.14 \times 15 \times 20 \]

Calculating this step-by-step,

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

Thus, the lateral surface area of the megaphone is:

\[ \boxed{942} \text{ square centimeters} \]