What is the surface area, in square meters, of a cone with a slant height of 8 meters and a radius of 5 meters? Use 3.14 for pi and round to the nearest tenth, if necessary.(1 point)
The surface area of a cone can be calculated using the formula:
Surface Area = πr(r + l)
where r is the radius and l is the slant height.
Given r = 5 meters and l = 8 meters, we can substitute these values into the formula:
Surface Area = 3.14 × 5(5 + 8)
Calculating further:
Surface Area = 3.14 × 5(13)
Surface Area = 3.14 × 65
Surface Area = 204.1 square meters
Therefore, the surface area of the cone is approximately 204.1 square meters.