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

1,648.5 square centimeters
1,648.5 square centimeters

109.9 square centimeters
109.9 square centimeters

942 square centimeters

Answer 1

The lateral surface area \( A \) of a cone can be calculated using the formula:

\[ A = \pi r l \]

where:

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

Given in the problem:

• \( r = 15 \) centimeters,
• \( l = 20 \) centimeters,
• \( \pi = 3.14 \).

Now, substitute the values into the formula:

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

Calculating this step-by-step:

1. Calculate \( 15 \times 20 = 300 \).
2. Now, multiply by \( \pi \):

\[ A = 3.14 \times 300 = 942 \]

Thus, the lateral surface area of the megaphone is:

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