How to find the surface area of a cone with a diameter in a slant height
To find the surface area of a cone, you need the radius or diameter of the base, along with the slant height. If you have the diameter, follow these steps to find the surface area:
1. Find the radius of the base by dividing the diameter by 2.
radius = diameter / 2
2. Calculate the curved surface area (CSA) using the formula:
CSA = π * radius * slant height
3. Calculate the base area (BA) using the formula:
BA = π * radius^2
4. Add the curved surface area and the base area together to find the total surface area (TSA):
TSA = CSA + BA
5. Round your answer to the appropriate decimal places, if required.
Therefore, to find the surface area of a cone, you need the diameter and the slant height.