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
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.