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
The surface area of a cone can be calculated using the formula:
Area = π * r * (r + l)
Where r is the radius and l is the slant height.
Given:
Radius (r) = 5 meters
Slant height (l) = 8 meters
π = 3.14
Plugging in the values:
Area = 3.14 * 5 * (5 + 8)
Calculating:
Area ≈ 3.14 * 5 * 13
Area ≈ 196.1
Therefore, the surface area of the cone is approximately 196.1 square meters.