Cone - Frustum Surface Area

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 Calculators

1. Cone Surface Area based on cone height and cone base radius
2. Cone Volume based on cone height and cone base radius
3. Cone Mass or Weight as a function of the volume and mean density
4. Cone Frustum Surface Area based on the two heights and two radii
5. Cone Frustum Volume based on the two heights and two radii 
6. Cone Frustum Weight or Mass based on the cone frustum volume and mean density
7. Cone Shell Volume a.k.a. hollow cone volume
8. Cone Shell Mass or Weight a.k.a. hollow cone mass
9. Moment of inertia of a cone shaped object based on mass and rotation axis
10. Moment of inertia of a cone shaped object based on mass and distance to apex (rotation around apex)
11. Compute the total surface are of the frustum of a cone:  This includes the top and bottom surfaces.
12. Compute the lateral surface area (using L) of the frustum of a cone.
13. Cone Frustum Volume from Angle
14. Cone Frustum Height from Volume and Outer Side Angle: Computes height based on volume, small radius and outer side angle.
15. Cone Frustum Height from Volume and Inner Side Angle: Computes height based on volume, small radius and inner side angle.