What is the surface area in square meters 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 10th if necessary.
To find the surface area of a cone, we need to calculate the lateral surface area which is πr * l, where r is the radius and l is the slant height.
First, we need to find the radius of the cone. From the given diameter of 12 feet, we can calculate the radius by dividing the diameter by 2:
radius = diameter / 2 = 12 feet / 2 = 6 feet
Now, we can plug the values into the formula:
lateral surface area = π * 6 feet * 14 feet ≈ 263.9 square feet
To convert the surface area from square feet to square meters, we can use the conversion factor 1 square foot = 0.092903 square meters:
263.9 square feet * 0.092903 square meters/square foot ≈ 24.5 square meters
Therefore, the surface area of the cone is approximately 24.5 square meters.