Frustum of A Cone Volume and area Formula & Calculator


Free online Frustum of A Cone Volume and area Formula & Calculator: Calculate the volume and area of a Frustum of A Cone based on its R the radius of the lower base, height and r the radius of the upper base. Enter three unknowns in the form and press the CALCULATE button.

Table of contents:

Frustum of A Cone

When a cone is cut the lower part of the cone is called a frustum. To get this part of the right circular cone, we need to cut it horizontally or parallel to the base. The two pieces have different volumes and areas.

Calculate the Volume of a Frustum of A Cone

The Volume of a Frustum of A Cone is given by the formula:

Volume of a Frustum of A Cone = (π / 3).h.(R2 + r2 + r.R)

Our calculator uses this formula and makes it possible to quickly obtain the Volume of a Frustum of A Cone according to its height and the radii of each of its bases.

R= The radius of the cone

r= the radius of the Frustum cone

h= height of the Frustum cone

Calculate the area of the lateral surface of a Frustum of A Cone

Consider a truncated cone whose base is a disk of radius R.

The area of the lateral surface A of the development of a Frustum of A Cone is equal to:

A = π × (R + r) × S

where S is a generator of the Frustum of A Cone

R= The radius of the cone

r= the radius of the Frustum cone

Calculate the total area of the Frustum of A 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.

The total area surface A of the development of a Frustum of A Cone is equal to:

AT = π . (R2 + r2 + S(r+R))

where S is a generator of the Frustum of A Cone

R= The radius of the cone

r= the radius of the Frustum cone

Calculate the Generator of the Frustum of A Cone

The Generator of the Frustum of a Cone S is equal to:

S = √(h+(R-r)2)

where S is a generator of the Frustum of A Cone

R= The radius of the cone

r= the radius of the Frustum cone

h= height of the Frustum cone