Cone - Surface Area

The Surface Area of a Cone calculator computes the surface area as a function of the radius of the base (r) and the height (h).  Right circular cone 

INSTRUCTIONS: Choose the preferred units and enter the following:

• (h) Height of Cone
• (r) Radius of Based of Cone.

Cone Surface Area (A):  The surface area is returned in square meters (m²).  However, this can be automatically converted to other area units via the pull-down menu.

The Math / Science

Height is defined as the length of the central axis from the base to the apex of the cone. See diagram.  The formula for the surface area of a cone is:

`A = pi * r * sqrt(r^2 + h^2)`

where:

• A = Surface Area of the Cone
• r = radius of the base
• h = height of the cone

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.