What is the surface area of the cone? Use 3.14 for pi and round to the nearest tenth, if necessary. (1 point)
Slant height 11 and radius is 6
To find the surface area of a cone, we need to find the area of the base and the lateral area.
The formula for the lateral area of a cone is:
Lateral Area = π * radius * slant height
Given that the slant height is 11 and the radius is 6, we can calculate the lateral area:
Lateral Area = 3.14 * 6 * 11 = 205.92
Next, we need to find the area of the base. The formula for the area of a circle is:
Area of Base = π * radius^2
Given that the radius is 6, we can calculate the area of the base:
Area of Base = 3.14 * (6)^2 = 113.04
Now, to find the total surface area, we sum the lateral area and the area of the base:
Total Surface Area = Lateral Area + Area of Base
Total Surface Area = 205.92 + 113.04
Total Surface Area ≈ 318.96
Rounded to the nearest tenth, the surface area of the cone is approximately 319.0.