Spherical Solids Calculator Index
Comprehensive collection of calculators for spheres, spherical segments and curved solids
Basic Spherical Forms
Spherical Segments and Sectors
Ellipsoids and Extended Forms
Tori and Advanced Curved Forms
Special Forms and Measurements
About Spherical and Curved Solids
Spherical and curved solids represent the most elegant forms in 3D geometry with applications across science and engineering:
- Astronomy - Planets, stars, celestial bodies
- Physics - Atoms, molecules, particles
- Engineering - Pressure vessels, tanks
- Architecture - Domes, spherical structures
- Biology - Cells, organs, biological forms
- Mathematics - Differential geometry, topology
Fundamental Spherical Formulas
Sphere
Surface: A = 4πr²
Ellipsoid
Three semi-axes
Torus
A = 4π²R·r
Spherical Cap
Dome segment
Practical Applications
Science & Nature
- Astronomy: Planetary shapes, stellar models
- Physics: Atomic models, particle physics
- Biology: Cell structures, organ shapes
Engineering & Industry
- Pressure vessels: Spherical tanks, containers
- Optics: Lenses, mirrors, reflectors
- Aerospace: Satellite components, fuel tanks
Architecture & Design
- Domes: Spherical caps in architecture
- Planetariums: Hemispherical projections
- Sculptures: Artistic curved forms
Mathematics & Computation
- Solid angles: 3D geometry calculations
- Differential geometry: Curved surface analysis
- Computer graphics: 3D modeling and rendering
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Quick Reference
Historical Context
Archimedes (287-212 BC): First calculated sphere volume and surface area relationships.
Renaissance (1400s-1600s): Development of perspective and understanding of curved surfaces.
Modern Era: Applications in space technology, molecular biology, and computer graphics.
Properties
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