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 the nearest tenth, if necessary.
To find the surface area of a cone, we need the radius and slant height of the cone.
Given that the diameter is 12 feet, we can find the radius by dividing the diameter by 2:
Radius = 12 ft / 2 = 6 ft
The formula to calculate the surface area of a cone is:
Surface Area = π * radius * (radius + slant height)
Plugging in the values we have:
Surface Area = 3.14 * 6 ft * (6 ft + 14 ft)
Surface Area ≈ 3.14 * 6 ft * 20 ft
Surface Area ≈ 376.8 ft²
Therefore, the surface area of the cone is approximately 376.8 square feet.