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`A = pi( "a" + "b" ) sqrt( "h" ^2+( "b" - "a" )^2)`

Enter a value for all fields

The **Surface Area of a Cone's Frustum **equation, , * The Frustum of a Cone*computes the lateral surface area (blue in diagram) of a right circular cone with a frustum defined by base radius (a) and top radius (b) and height (h) in between.

**INSTRUCTIONS:** Choose your preferred length units and enter the following:

- (
**a**) Radius of the top - (
**b**) Radius of the bottom - (
**h**) Height of the frustum of the cone

**Surface Area(A):** The calculator returns the surface area (A) excluding the top and bottom in square meters. However, this can be automatically converted to other area units via the pull-down menu.

The formula for the surface area of a cone frustum is:

`A = π(a+b)sqrt(h^2+(b−a)^2)`

where:

- A is the surface area of the cone frustum
- a is the top radius
- b is the bottom radius
- h is the height

- Surface Area: cone surface area based on cone height and cone base radius
- Volume: cone volume based on cone height and cone base radius
- Mass: cone mass or weight as a function of the volume and mean density
- Frustum Surface Area: cone frustum surface area based on the two heights and two radii
- Frustum Volume: cone frustum volume based on the two heights and two radii
- Frustum Mass: cone frustum weight or mass based on the cone frustum volume and mean density
- Shell Volume: cone shell volume a.k.a. hollow cone volume
- Shell Mass: cone shell mass or weight a.k.a. hollow cone mass.
- Compute the total surface are of the frustum of a cone: This includes the top and bottom surfaces.
- Compute the lateral surface area (using L) of the frustum of a cone.