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.Responses

1,648.5 square centimeters
1,648.5 square centimeters

942 square centimeters
942 square centimeters

1,884 square centimeters
1,884 square centimeters

109.9 square centimeters

1 answer

To find the lateral surface area of a cone-shaped megaphone, we can use the formula for the lateral surface area of a cone, which is given by:

\[ \text{Lateral Surface Area} = \pi \times r \times l \]

where:

  • \( r \) is the radius of the base,
  • \( l \) is the slant height,
  • \( \pi \) is approximately 3.14.

Given:

  • Radius \( r = 15 \) cm,
  • Slant height \( l = 20 \) cm.

Now, we can substitute the given values into the formula:

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

Calculating this:

\[ \text{Lateral Surface Area} = 3.14 \times 300 = 942 \]

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

Therefore, the correct response is:

942 square centimeters.