# Cone Volume Formula & Calculator

Online Cone Volume Formula & Calculator: Calculate the volume and area of a cone based on its radius and height. Enter three unknowns in the form and press the CALCULATE button.

## Circular cone

A right circular cone is a solid generated by the complete revolution of a right triangle around one side of the right angle.

Vocabulary:

h is the height of the cone

The base of the cone is a circle with center O and radius r

[S] is a generator of the cone

## Calculate the Generator of A Cone

The Generator of the a Cone S is equal to:

S = √(r2+h2)

R= The radius of the cone

h= height of the Frustum cone

## Calculate the area of the base of the cone

Regarding its base, it is formed of a disc of which we know the formula of the area.

The area of the base of the cone = π r2

## Calculate the lateral area of the cone

The lateral area of a right cone is equal to half of the product of the circumference of the base times the generator of the cone. We admit the following result:

The area of the lateral surface of a cone of revolution is equal to the half-product of the perimeter of the base circle times the length of the generator of the cone.

A = π.r.s

where r = measure of radius, s = generator of the cone

## Calculate the total area of the cone

Whenever there is a question of total area, this implies that we must take into account all the faces of the solid and add their respective areas.

## Calculate the volume of the cone

The volume of the circular base cone is one-third of the product of the area of the base times the height.

V = (Ab.h)/3 where h = the height of the cone. Ab=the area of the base