What is the surface area of the cone? Use 3.14 for pi and round to the nearest tenth, if necessary.
Radius = 6
Slat Hieght = 11
To find the surface area of the cone, we need to find the lateral surface area as well as the surface area of the base.
The lateral surface area of a cone can be calculated using the formula: LSA = πrl, where r is the radius of the base of the cone and l is the slant height.
Radius = 6
Slant Height = 11
LSA = 3.14 * 6 * 11 = 205.92
To find the surface area of the base, we use the formula for the area of a circle: A = πr^2.
Base Radius = 6
A = 3.14 * (6^2) = 3.14 * 36 = 113.04
Now we can find the total surface area of the cone by adding the lateral surface area and the surface area of the base together:
Total Surface Area = LSA + A = 205.92 + 113.04 = 318.96
Therefore, the surface area of the cone is approximately 318.96 square units.