To find the surface area of a cone, we need to find the lateral surface area (LSA) and the base area.
First, let's calculate the LSA. The LSA of a cone is given by the formula:
LSA = π * r * l
where r is the radius and l is the slant height.
Plugging in the values r = 6 and l = 11, we have:
LSA = 3.14 * 6 * 11 = 207.48
Next, let's find the base area of the cone. The base area of a cone is given by the formula:
Base area = π * r^2
Plugging in the value r = 6, we have:
Base area = 3.14 * 6^2 = 113.04
Finally, to find the total surface area of the cone, we need to add the LSA and the base area:
Total surface area = LSA + Base area
Total surface area = 207.48 + 113.04 = 320.52
Rounding to the nearest tenth, the surface area of the cone is approximately 320.5 square units.
What is the surface area of the cone? Use 3.14 for pi and round to the nearest tenth, if necessary.
slant height: 11
radius: 6
1 answer
1 answer