Cone Surface Area Calculator
Calculate lateral and total surface area of a right circular cone.
How to Use the Cone Surface Area Calculator
Enter cone radius and height or slant height as requested to calculate lateral and total surface area.
Practical Example
For radius 3 and slant height 5, lateral area is about 47.12 square units; total area also includes the circular base.
Factors That Affect the Result
Total area and lateral area are different. If the tool derives slant height from vertical height, accurate radius and perpendicular height are required.
Frequently Asked Questions
What is lateral surface area?
The curved cone surface excluding the base.
Does total area include the base?
Yes.
What units are returned?
Squared units.
Related Tools
- Cylinder Surface Area Calculator
- Sphere Surface Area Calculator
- Frustum Volume Calculator
- Surface Area Calculator
- Volume Calculator
Understanding Cone Surface Area
Cone surface area can mean lateral area only or total area including the circular base. Total area is πr(r + l), where l is the slant height. If only vertical height is known, slant height can be found from √(r² + h²) for a right cone.
Choose the definition that matches the task. Material covering only the curved side should not include the base, while painting or coating a closed cone may require both surfaces. Keep all dimensions in one unit before calculating.