Volume
The volume of a solid body is the amount of ``space'' it occupies. Volume has units of Lengthcubed (i.e., cm The following table gives volumes for some common Surfaces. Here Even simple Surfaces can display surprisingly counterintuitive properties. For instance, theSurface of Revolution of The generalization of volume to Beyer, W. H. CRC Standard Mathematical Tables, 28th ed. Boca Raton, FL: CRC Press, pp. 127-132, 1987.
, Width 
, and Height 
is given by
The volume can also be computed for irregularly-shaped and curved solids such as the Cylinder andCube. The volume of a Surface of Revolution is particularly simple to compute due to its symmetry.
denotesthe Radius, 
the height, 
the base Area, and, in the case of the Torus, 
thedistance from the torus center to the center of the tube (Beyer 1987).Surface Volume Cone 
Conical Frustum 
Cube 
Cylinder 
Ellipsoid 
Oblate Spheroid 
Prolate Spheroid 
Pyramid 
Pyramidal Frustum 
Sphere 
Spherical Cap 
Spherical Sector 
Spherical Segment 
Torus 
around the 
-axis for 
is called Gabriel's Horn, and has finitevolume, but infinite Surface Area.
Dimensions for 
is known as Content.
References
- Soma Cube
- Somer-Lucas Pseudoprime
- Sommerfeld's Formula
- Somos Sequence
- Sondat's Theorem
- Sonine Polynomial
- Sonine-Schafheitlin Formula
- Sonine's Integral
- Sophie Germain Prime
- Sorites Paradox
- Sorting
- Sort-Then-Add Sequence
- Source
- Sous-Double
- Souslin Set
- Souslin's Hypothesis
- Sous-Triple
- Space
- Space Conic
- Space Curve
- Space Diagonal
- Space Distance
- Space Division
- Space-Filling Curve
- Space-Filling Function