Sphere - Cap Surface Area

The Surface Area of a Spherical Cap calculator returns the surface area based on the radius of the sphere and the height of the cap.  

INSTRUCTION: Choose units and enter the following:

• (r) Radius of the Sphere
• (h) Height of the Sphere Cap

Surface Area of Sphere Cap (SA): The surface area is returned in square meters. However this can be automatically converted to compatible units via the pull-down menu.

The Math / Science

The formula for the surface area of a sphere cap is: 

  SA = 2π⋅r⋅h

where:

• SA = Sphere Cap Surface Area
• r = radius of the sphere
• h = height of the sphere cap

The formula provides the lateral area (surface area) of the cap of a sphere. The cap is defined by the depth (h) from the surface and the radius (r) of the sphere. The cap is formed of a plane perpendicular to the radius which cuts off the cap of the sphere at a distance (h) from the outside of the sphere.

Sphere Calculators

• Sphere Surface Area based radius (r)
• Sphere Surface Area from Volume
• Sphere Volume from Radius
• Sphere Volume from Circumference
• Sphere Volume from Surface Area
• Sphere Volume from Mass and Density
• Sphere Radius from Volume
• Sphere Radius from Surface Area
• Sphere Weight (Mass) from volume and density
• Sphere Density
• Area of Triangle on a Sphere
• Distance between Two Points on a Sphere
• Sphere Cap Surface Area
• Sphere Cap Volume
• Sphere Cap Weight (Mass) 
• Sphere Segment Volume
• Sphere Segment Weight (Mass)
• Sphere Segment Wall Surface Area (without the circular top and bottom ends)
• Sphere Segment Full Surface Area  (with the top and bottom circles, aka ends)
• Volume of Spherical Shell
• Mass of Spherical Shell

References

• “Formula 4.41.” Mathematical Handbook of Formulas and Tables: Including 2400 Formulas and 60 Tables, by Murray R. Spiegel, McGraw-Hill, 1968.