Conical Frustum Calculator

Lets first understand, what is a conical frustum and how we can find different properties of a conical frustum?

Frustum - Conical & Pyramidal

A frustum is the portion of a solid (cone or pyramid) that lies between one or two parallel planes cutting it. A right frustum is a parallel truncation of a right pyramid or right cone.

The axis of the frustum is same as that of the original cone or pyramid.

A frustum is circular if it has circular bases and it is right if the axis is perpendicular to both bases.

The height of a frustum is the perpendicular distance between the planes of the two bases.

Different equations of conical frustum

Let the Smaller Radius of the Conical Frustum be \(r\) units,

the Larger Radius of the Conical Frustum be \(R\) units

and the Height of the Conical Frustum be \(H\) units,

Volume of conical frustum

Volume of the Conical Frustum will be \(\dfrac{1}{3}\pi H\left(r^2 + R^2 +r.R\right)\) cubic units.

Surface areas of conical frustum

Total Surface Area of the Conical Frustum will be \(\pi\left((r + R)\sqrt{(R - r)^2+H^2 } + r^2 + R^2\right)\) square units.

Curved Surface Area of the Conical Frustum will be \(\pi (r + R)\sqrt{(R - r)^2+H^2}\) square units.

Slant height of conical frustum

Slant Height of the Conical Frustum will be \(\sqrt{(R - r)^2+H^2}\) units.

For calculating different properties of the conical frustum using above conical frustum calculator, you have to just write the values in the given input boxes and press the calculate button, you will get the result.