# Cone Calculator

Three easy to use online calculators 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 are presented.

Another calculator to make a cone from a sector is included in this site.

## 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". 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.

## 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". 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.

## 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". 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.

## More References and Links

Make a Cone from a Sector Calculator .Cone Problems .

Online Geometry Calculators and Solvers .