What is the surface area, in square centimeters, of a cone with a diameter of 12 feet and a slant height of 14 feet? Use 3.14 for pi and round to the nearest tenth, if necessary.(
To find the surface area of a cone, we can use the formula:
surface area = πr² + πrs
Given that the diameter of the cone is 12 feet, we can find the radius by dividing the diameter by 2:
radius = 12 feet / 2 = 6 feet
Also, given the slant height is 14 feet.
We can calculate the surface area using 3.14 for π, rounded to the nearest tenth:
surface area = 3.14 * 6^2 + 3.14 * 6 * 14
surface area = 3.14 * 36 + 3.14 * 84
surface area = 113.04 + 263.76
surface area = 376.8
The surface area of the cone is 376.8 square feet.