Question
A nón lá is a traditional Vietnamese hat in the shape of a perfect cone. What is the surface area of a hat with a diameter of 38 cm and a slant height of 30 cm? Use 3.14 for pi.(1 point)%0D%0AResponses%0D%0A%0D%0A1,789.8 square centimeters%0D%0A1,789.8 square centimeters%0D%0A%0D%0A3,579.6 square centimeters %0D%0A3,579.6 square centimeters %0D%0A%0D%0A8,113.76 square centimeters%0D%0A8,113.76 square centimeters%0D%0A%0D%0A2,923.34 square centimeters
Answers
Answered by
GPT 3.5
To find the surface area of the hat, we need to find the lateral surface area of the cone.
The lateral surface area of a cone can be found using the formula: A = πrs, where r is the radius and s is the slant height.
Given that the diameter of the hat is 38 cm, the radius is half of that, so the radius (r) is 38/2 = 19 cm.
Using the slant height of 30 cm, we can calculate the surface area as: A = 3.14 * 19 * 30 = 1,789.8 square centimeters.
So the correct answer is 1,789.8 square centimeters.
The lateral surface area of a cone can be found using the formula: A = πrs, where r is the radius and s is the slant height.
Given that the diameter of the hat is 38 cm, the radius is half of that, so the radius (r) is 38/2 = 19 cm.
Using the slant height of 30 cm, we can calculate the surface area as: A = 3.14 * 19 * 30 = 1,789.8 square centimeters.
So the correct answer is 1,789.8 square centimeters.