Cone Volume Calculator
Enter a cone's radius and height to find its volume, slant height, lateral surface area and total surface area using the exact geometry formulas.
How to find the volume of a cone
- Enter the base radius of the cone.
- Enter the vertical height of the cone.
- Read the volume, slant height and surface areas instantly.
Examples
Radius 3, height 4
radius = 3, height = 4
volume = 37.699, slant height = 5, total area = 75.398
Radius 5, height 12
radius = 5, height = 12
slant height = 13, volume = 314.159265
Frequently asked questions
What is the formula for the volume of a cone?
The volume equals one third times pi times the radius squared times the height. A cone holds exactly one third of the cylinder with the same base and height.
What is the slant height of a cone?
The slant height is the distance from the rim to the tip along the surface. It equals the square root of the radius squared plus the height squared.
How is the lateral area of a cone found?
The lateral area is the curved side without the base. It equals pi times the radius times the slant height.
What is the total surface area of a cone?
Add the circular base to the lateral area. This gives pi times the radius times the sum of the radius and the slant height.
What units does this use?
It is unit free. Enter the radius and height in the same unit and the volume is in cubic units and the areas in square units.
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