Properties of Cone
This tool calculates the basic geometric properties of a cone, with a circular base. Enter the shape dimensions 'r' and 'h' below. The calculated results will have the same units as your input. Please use consistent units for any input.
r = | |||
h = | |||
 | |||
Geometric properties: | |||
Volume = | |||
Surface area = | |||
Base area = | |||
Lateral surface area = | |||
Lateral height L = | |||
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Definitions
Geometry
The cone is a solid object with a circular base and a side surface that converges to a single point, the apex.
The volume of a cone is given by the formula:
where r the radius of the circular base and h the height of the cone. This formula is derived from the following general expression, that also covers all pyramids, with any polygonal base:
where the base area.
The lateral surface area of the cone can be found using the following formula:
where L the lateral height of the cone, which is easily found as:
Since the area of the circular base is equal to , the total surface area of the cone is: