Right Circular Cone Calculator
Calculate volume, surface area, and slant height of a right circular cone.
Formula
Volume = ⅓πr²h · Slant height l = √(r² + h²) · Lateral area = πrl · Total area = πr(l + r)
- Volume of a cone is one-third of a cylinder with the same base and height.
- Slant height is the distance from the apex to the base edge.
- Total surface area includes the base circle plus the lateral (side) surface.
Example
Inputs
- Base Radius (r): 3
- Height (h): 4
r=3, h=4: slant = √(9+16) = 5, volume = ⅓π(9)(4) ≈ 37.70, total surface ≈ 75.40
Frequently asked questions
What is slant height?
The straight-line distance from the apex to a point on the base edge, equal to √(r² + h²).
How is cone volume derived?
A cone has exactly one-third the volume of a cylinder with the same base radius and height.