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 109.9 square centimeters 109.9 square centimeters 1,648.5 square centimeters 1,648.5 square centimeters 1,884 square centimeters 1,884 square centimeters 942 square centimeters

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

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

\[ A = \pi r l \]

where:

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

Given:

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

Substituting the values into the formula:

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

Calculating step by step:

  1. First, calculate \( 15 \times 20 \): \[ 15 \times 20 = 300 \]

  2. Now multiply by \( \pi \): \[ A = 3.14 \times 300 = 942 \]

Thus, the lateral surface area of the megaphone is:

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