Sphere Calcs

Diameter:

Height:

Stemwall:

Radius of Curvature:

Circumference:

Floor Area:

Dome Surface Area:

Dome Volume:

Stemwall Surface Area:

Stemwall Volume:

Total Surface Area:

Total Volume:


Level:

Radius @ Level:

Area @ Level:

Oblate Dome Calcs

Diameter:

Height:

Stemwall:

Ellipticity:

Circumference:

Floor Area:

Dome Surface Area*:

Dome Volume*:

Stemwall Surface Area:

Stemwall Volume:

Total Surface Area:

Total Volume:


Level:

Radius @ Level:

Area @ Level:

Spherical Dome Calcs Reference

Diameter
Diameter of the base of the dome. (see diagram above)
Height
Height of dome from base to apex. (see diagram above)
Stemwall
Vertical wall equal in diameter to the base of the dome extending from the base down to the ground. For hemispheres -- where the height is equal to half the diameter -- the stemwall can usually be inflated as part of the Airform. For low-profile spheres, the stemwall will have to be built before inflating the Airform -- this is the Orion style dome (see Italy High School). For Orion style Monolithic Domes, you must make the Stemwall tall enough to accomodate a doorway -- usually 8 feet minimum. For Airform style Stemwalls, it can be any height. (see diagram above)
Radius of Curvature
The distance to the center of the sphere described by the dome. Spherical domes are part of a larger sphere. For a hemisphere, the radius of curvature is equal to the height and equal to the radius of the base. (see diagram above)
Circumference
Distance around the perimeter of the dome.
Floor Area
Area of the floor. The floor is defined as a circle equal to the diameter of the base of the dome.
Surface Area
Dome, Stemwall, and Total Surface Area describe the surface area of the dome and stemwall separately and then totals the two together.
Volume
Dome, Stemwall, and Total Volume describe the cubic volume contained by the dome and stemwall separately and then totals the two together.
Level
The level above the base of the dome to calculate radius and area. (see diagram above)
Radius @ Level
The horizontal radius at the 'Level' specified. (see diagram above)
Area @ Level
Area of the circle described by the Radius @ Level. (see diagram above)

Oblate Ellipsoid Dome Calcs Reference

Diameter
Diameter of the base of the dome. The semi-major axis (a) of the ellipsoid will be defined as half of the diameter. (see diagram above)
Height
Height of dome from base to apex. The semi-minor axis (b) of the ellipsoid will be defined as equal to the height. (see diagram above)
Stemwall
Vertical wall equal in diameter to the base of the dome extending from the base down to the ground. For half-ellipsoids -- where the height is equal to half the diameter -- the stemwall can usually be inflated as part of the Airform. These formulas are setup to only calculate half-ellipsoids. Orion style walls may be built if you choose, however, low profile spherical domes may be more appropriate. (see diagram above)
Ellipticity
The ratio between the a and b of the ellisoid shape where 1.0 is a sphere, 1.35 is a moderately elliptical dome, and 1.45 is a highly elliptical dome.
Circumference
Distance around the perimeter of the dome.
Floor Area
Area of the floor. The floor is defined as a circle equal to the diameter of the base of the dome.
Surface Area
Dome, Stemwall, and Total Surface Area describe the surface area of the dome and stemwall separately and then totals the two together.
Volume
Dome, Stemwall, and Total Volume describe the cubic volume contained by the dome and stemwall separately and then totals the two together.
Level
The level above the base of the dome to calculate radius and area. (see diagram above)
Radius @ Level
The horizontal radius at the 'Level' specified. (see diagram above)
Area @ Level
Area of the circle described by the Radius @ Level.