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 .
