Cone Calculator

An easy to use online calculator to calculate the lateral surface area and the volume of a right cone given any two of its dimensions: radius r, height h and slant height s. Another calculator to make a cone from a sector is included in this site.

right circular cone

Formulas of Area and Volume of a Cone Used in this Calculator

Let r be the radius of the base and h the height of the cone as shown in the above diagram. The area of the surface and volume of the cone are given by:
Base surface area \( B_a= \pi r^2 \) (area of the circular base)
Lateral surface area: \( L_a = \pi r \sqrt{r^2+h^2} \) (area of lateral surface)
Total surface area \( T_a= \pi r^2 + \pi r \sqrt{r^2+h^2} \)
Volume \( = \dfrac{1}{3} \pi r^2 h \)
Slant height s \( = \sqrt{r^2+h^2} \) (length from the apex of the cone to a point on the circle making the base)
Height h \( = \sqrt{h^2-r^2} \)
Radius r \( = \sqrt{h^2-h^2} \)


Use the Calculator to Find the Area and Volume of the Cone Given its Height h and Radius r

Enter the radius r of the base and height h of the cone as positive real numbers and press "Calculate Area and Volume". The outputs are the lateral surface area \( L_a \) , the base area \( B_a \), the total area \( T_a \), the volume of the cone V and the slant height s.

Radius r =
Height h =
Lateral Area \( L_a \) =
Base Area \( B_a \) =
Total Area \( T_a \) =
Volume V =
Slant Height s =




Use the Calculator to Find the Area and the Volume of the Cone Given its Radius r and Slant Height s

Enter the radius r of the base and the slant height s of the cone as positive real numbers such that s is greater than r and then press "Calculate Area and Volume". The outputs are the lateral surface area \( L_a \) , the base area \( B_a \), the total area \( T_a \), the volume of the cone V and the height h.

Radius r =
Slant Height s =
Lateral Area \( L_a \) =
Base Area \( B_a \) =
Total Area \( T_a \) =
Volume V =
Height h =




Use the Calculator to Find the Area and the Volume of the Cone Given its Height h and Slant Height s

Enter the height h and the slant height s of the cone as positive real numbers such that s greater then h and press "Calculate Area and Volume". The outputs are the lateral surface area \( L_a \) , the base area \( B_a \), the total area \( T_a \), the volume of the cone V and the radius r.

Height h =
Slant Height s =
Lateral Area \( L_a \) =
Base Area \( B_a \) =
Total Area \( T_a \) =
Volume V =
Radius r =

More References and Links

Make a Cone from a Sector Calculator.
Cone Problems.
Online Geometry Calculators and Solvers.

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