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.

Table of contents:

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