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

Answer 1

u sure

Answer 2

To find the lateral surface area of the cone-shaped megaphone, we first need to find the slant height of the cone. This can be done using the Pythagorean theorem, because the slant height, radius, and height of the cone form a right triangle.

Using the Pythagorean theorem:
slant height = √(radius^2 + height^2)
slant height = √(15^2 + 20^2)
slant height = √(225 + 400)
slant height = √625
slant height = 25 centimeters

Now that we have the slant height, we can calculate the lateral surface area of the cone using the formula:
Lateral surface area = π * radius * slant height
Lateral surface area = 3.14 * 15 * 25
Lateral surface area = 3.14 * 375
Lateral surface area = 1,177.5 square centimeters

Therefore, the lateral surface area of the cone-shaped megaphone is approximately 1,177.5 square centimeters.

Answer 3

Apologies for the mistake in my previous calculation. Let's correct it:

The lateral surface area of a cone is given by the formula: π * radius * slant height.

Given that the radius is 15 cm and the slant height is 20 cm, we have:

Lateral surface area = π * 15 * 20
Lateral surface area = 3.14 * 15 * 20
Lateral surface area = 94.2 * 15
Lateral surface area = 1413 square centimeters

Therefore, the correct lateral surface area of the cone-shaped megaphone is 1413 square centimeters. Thank you for your patience.