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.

Answer 1

The lateral surface area of a cone-shaped megaphone with a radius of 15 cm and a slant height of 20 cm is 942 square centimeters.

Step-by-step explanation:

To calculate the lateral surface area of a cone-shaped megaphone with a radius of 15 centimeters and a slant height of 20 centimeters, we use the formula for the lateral surface area of a cone:

Area = π * radius * slant height

Plugging the given values into the formula, we get:

Area = 3.14 * 15 cm * 20 cm

Area = 3.14 * 300 cm²

Area = 942 cm²

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