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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 Conecomputes 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 Math / Science
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
- Cone Surface Area based on cone height and cone base radius
- Cone Volume based on cone height and cone base radius
- Cone Mass or Weight as a function of the volume and mean density
- Cone Frustum Surface Area based on the two heights and two radii
- Cone Frustum Volume based on the two heights and two radii
- Cone Frustum Weight or Mass based on the cone frustum volume and mean density
- Cone Shell Volume a.k.a. hollow cone volume
- Cone Shell Mass or Weight a.k.a. hollow cone mass
- Moment of inertia of a cone shaped object based on mass and rotation axis
- Moment of inertia of a cone shaped object based on mass and distance to apex (rotation around apex)
- 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.