What is the surface area of the cone? Use 3.14 for pi and round to the nearest tenth, if necessary.
(1 point) radius is 6 and teh slant is 11
To find the surface area of a cone, we need to find the lateral surface area and add it to the base area.
The lateral surface area of a cone is given by the formula: L = πrℓ, where r is the radius and ℓ is the slant height.
Given that the radius (r) is 6 and the slant height (ℓ) is 11, we can substitute these values into the formula:
L = 3.14 * 6 * 11
L ≈ 205.92
The base area of a cone is given by the formula: B = πr², where r is the radius.
Given that the radius (r) is 6, we can substitute this value into the formula:
B = 3.14 * 6²
B ≈ 113.04
To find the surface area, we add the lateral surface area (L) to the base area (B):
Surface Area = L + B
Surface Area ≈ 205.92 + 113.04
Surface Area ≈ 318.96
Therefore, the surface area of the cone is approximately 318.96 square units.