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.
_ Square meters
To find the surface area of a cone, we need to use the formula:
Surface area = π * r * r + π * r * l
Where r is the radius of the base of the cone and l is the slant height.
Given that the radius (r) is 5 meters and the slant height (l) is 8 meters, we can calculate the surface area:
Surface area = 3.14 * 5 * 5 + 3.14 * 5 * 8
Surface area = 3.14 * 25 + 3.14 * 40
Surface area = 78.5 + 125.6
Surface area = 204.1
Therefore, the surface area of the cone is 204.1 square meters.