# 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.

## 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