1.a (usually) large and scholarly book
2.physical objects consisting of a number of pages bound together"he used a large book as a doorstop"
3.the magnitude of sound (usually in a specified direction)"the kids played their music at full volume"
4.the property of something that is great in magnitude"it is cheaper to buy it in bulk" "he received a mass of correspondence" "the volume of exports"
5.a publication that is one of a set of several similar publications"the third volume was missing" "he asked for the 1989 volume of the Annual Review"
6.the amount of 3dimensional space occupied by an object"the gas expanded to twice its original volume"
7.a relative amount"mix one volume of the solution with ten volumes of water"
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VolumeVol"ume (?), n. [F., from L. volumen a roll of writing, a book, volume, from volvere, volutum, to roll. See Voluble.]
1. A roll; a scroll; a written document rolled up for keeping or for use, after the manner of the ancients. [Obs.]
The papyrus, and afterward the parchment, was joined together [by the ancients] to form one sheet, and then rolled upon a staff into a volume (volumen). Encyc. Brit.
2. Hence, a collection of printed sheets bound together, whether containing a single work, or a part of a work, or more than one work; a book; a tome; especially, that part of an extended work which is bound up together in one cover; as, a work in four volumes.
An odd volume of a set of books bears not the value of its proportion to the set. Franklin.
4. Anything of a rounded or swelling form resembling a roll; a turn; a convolution; a coil.
So glides some trodden serpent on the grass,
And long behind wounded volume trails. Dryden.
Undulating billows rolling their silver volumes. W. Irving.
4. Dimensions; compass; space occupied, as measured by cubic units, that is, cubic inches, feet, yards, etc.; mass; bulk; as, the volume of an elephant's body; a volume of gas.
5. (Mus.) Amount, fullness, quantity, or caliber of voice or tone.
Atomic volume, Molecular volume (Chem.), the ratio of the atomic and molecular weights divided respectively by the specific gravity of the substance in question.  Specific volume (Physics & Chem.), the quotient obtained by dividing unity by the specific gravity; the reciprocal of the specific gravity. It is equal (when the specific gravity is referred to water at 4° C. as a standard) to the number of cubic centimeters occupied by one gram of the substance.
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definition of Wikipedia
Abnormal redcell volume NOS • Blood Plasma Volume • Blood Volume • Blood Volume Determination • Cardiac Volume • Cell Nuclear Volume • Cell Nucleus Volume • Cell Volume • Closing Volume • Depletion of volume of plasma or extracellular fluid • Erythrocyte Volume • Erythrocyte Volume, Mean Cell • Erythrocyte Volume, Packed • Expiratory Reserve Volume • Forced Expiratory Volume • Heart Volume • Inspiratory Reserve Volume • Lung Volume Measurements • Lung Volume Reduction • Mean Cell Volume • Mean Corpuscular Volume • Mitochondria Volume • Mitochondrial Volume • Nuclear Volume, Cell • Nucleus Volume, Cell • Organ Volume • Organelle Volume • Packed RedCell Volume • Plasma Volume • Plasma Volume Expanders • Residual Volume • Spiral Volume CT • Stroke Volume • Tidal Volume • Tomography, Volume Computed • Tumor Volume • Volume CT • Volume Computed Tomography • Volume depletion • budget volume • dollar volume • effective volume • ground volume • normal blood volume • packed cell volume • quiet automatic volume control • robot work volume • trade volume • trading volume • volume flow meter • volume numbering • volume of trade • volume operation • volume receptor • volume unit • volumedetonation bomb • work volume • working volume
volume (n.)↕
petit livre (fr)[Classe]
volume (n.)↕
ensemble de feuilles de papier assemblées (fr)[Classe]
indenture; docket; statement; document; writing[Classe]
(book; volume; needlework; embroidery; fancywork)[Thème]
publishing[Domaine]
Book[Domaine]
publication[Hyper.]
book[Hyper.]
volume (n.)↕
ensemble de feuilles de papier assemblées (fr)[Classe]
indenture; docket; statement; document; writing[Classe]
annonce imprimée sur feuille(s) (fr)[Classe]
(book; volume; needlework; embroidery; fancywork)[Thème]
factotum[Domaine]
Product[Domaine]
publishing[Domaine]
Book[Domaine]
creation  creation, creative activity  book[Hyper.]
create, make, produce, turn out  book, volume  folio, leaf  book, playscript, script  pamphleteer[Dérivé]
volume (n.)↕
property  sound property[Hyper.]
aloud, loud, loudly  softness  quietly, softly  forte, loudly  soft  intensity, loudness, volume[Dérivé]
soft  loud  piano, soft[Ant.]
volume (n.)↕
volume (fr)[termes liés]
factotum[Domaine]
measure[Domaine]
quality[Domaine]
SubjectiveAssessmentAttribute[Domaine]
property[Hyper.]
blow up, enlarge, magnify  amplify, magnify  measurable, mensurable[Dérivé]
large[Similaire]
factotum[Domaine]
SubjectiveAssessmentAttribute[Domaine]
greatness, magnitude, size[Hyper.]
bulky  voluminous[Dérivé]
volume (n.)↕
ensemble de feuilles de papier assemblées (fr)[Classe]
indenture; docket; statement; document; writing[Classe]
equipment; rig; gear; hardware[Classe]
dictionary; lexicon[Classe]
(book; volume; needlework; embroidery; fancywork)[Thème]
encyclopédie (fr)[Thème]
publishing[Domaine]
Publication[Domaine]
factotum[Domaine]
Collection[Domaine]
Series[Domaine]
piece of work, work  accumulation, aggregation, assemblage, collection, piling up  book of facts, reference, reference aid, reference book, reference material, reference tool, reference work  authority[Hyper.]
bring out, issue, print, publish, put out, release  publish, write  print, publish[Dérivé]
publication  cyclopaedia, cyclopedia, encyclopaedia, encyclopedia[Hyper.]
set, suite[membre]
volume (n.)↕
volume (fr)[termes liés]
metrology[Domaine]
measure[Domaine]
abstract entity, abstraction[Hyper.]
measure, quantify  gauge, measure, measure off, measure out, mensurate, meter, take the measurements  appraise, assess, evaluate, measure, valuate, value  add up, amount, amount to, come, number, total  standard  nonstandard[Dérivé]
large[Similaire]
metrology[Domaine]
VolumeMeasure[Domaine]
amount, measure, quantity[Hyper.]
voluminous[Dérivé]
volume (n.)↕
metrology[Domaine]
measure[Domaine]
abstract entity, abstraction[Hyper.]
measure, quantify  gauge, measure, measure off, measure out, mensurate, meter, take the measurements  appraise, assess, evaluate, measure, valuate, value  add up, amount, amount to, come, number, total  standard  nonstandard[Dérivé]
amount, measure, quantity[Hyper.]
volume (n.)↕
Volume is the quantity of threedimensional space enclosed by some closed boundary, for example, the space that a substance (solid, liquid, gas, or plasma) or shape occupies or contains.^{[1]} Volume is often quantified numerically using the SI derived unit, the cubic metre. The volume of a container is generally understood to be the capacity of the container, i. e. the amount of fluid (gas or liquid) that the container could hold, rather than the amount of space the container itself displaces.
Three dimensional mathematical shapes are also assigned volumes. Volumes of some simple shapes, such as regular, straightedged, and circular shapes can be easily calculated using arithmetic formulas. The volumes of more complicated shapes can be calculated by integral calculus if a formula exists for the shape's boundary. Onedimensional figures (such as lines) and twodimensional shapes (such as squares) are assigned zero volume in the threedimensional space.
The volume of a solid (whether regularly or irregularly shaped) can be determined by fluid displacement. Displacement of liquid can also be used to determine the volume of a gas. The combined volume of two substances is usually greater than the volume of one of the substances. However, sometimes one substance dissolves in the other and the combined volume is not additive.^{[2]}
In differential geometry, volume is expressed by means of the volume form, and is an important global Riemannian invariant. In thermodynamics, volume is a fundamental parameter, and is a conjugate variable to pressure.
Contents 
Any unit of length gives a corresponding unit of volume, namely the volume of a cube whose side has the given length. For example, a cubic centimetre (cm^{3}) would be the volume of a cube whose sides are one centimetre (1 cm) in length.
In the International System of Units (SI), the standard unit of volume is the cubic metre (m^{3}). The metric system also includes the litre (L) as a unit of volume, where one litre is the volume of a 10centimetre cube. Thus
so
Small amounts of liquid are often measured in millilitres, where
Various other traditional units of volume are also in use, including the cubic inch, the cubic foot, the cubic mile, the teaspoon, the tablespoon, the fluid ounce, the fluid dram, the gill, the pint, the quart, the gallon, the minim, the barrel, the cord, the peck, the bushel, and the hogshead.
Volume and capacity are sometimes distinguished, with capacity being used for how much a container can hold (with contents measured commonly in litres or its derived units), and volume being how much space an object displaces (commonly measured in cubic metres or its derived units).
Volume and capacity are also distinguished in capacity management, where capacity is defined as volume over a specified time period. However in this context the term volume may be more loosely interpreted to mean quantity.
The density of an object is defined as mass per unit volume. The inverse of density is specific volume which is defined as volume divided by mass. Specific volume is a concept important in thermodynamics where the volume of a working fluid is often an important parameter of a system being studied.
The volumetric flow rate in fluid dynamics is the volume of fluid which passes through a given surface per unit time (for example cubic meters per second [m^{3} s^{1}]).
Shape  Volume formula  Variables 

Cube  a = length of any side (or edge)  
Cylinder  r = radius of circular face, h = height  
Prism  B = area of the base, h = height  
Rectangular prism  l = length, w = width, h = height  
Sphere  r = radius of sphere which is the integral of the surface area of a sphere 

Ellipsoid  a, b, c = semiaxes of ellipsoid  
Pyramid  B = area of the base, h = height of pyramid  
Cone  r = radius of circle at base, h = distance from base to tip or height  
Tetrahedron^{[4]}  edge length  
Parallelepiped 

a, b, and c are the parallelepiped edge lengths, and α, β, and γ are the internal angles between the edges 
Any volumetric sweep (calculus required) 
h = any dimension of the figure, A(h) = area of the crosssections perpendicular to h described as a function of the position along h. a and b are the limits of integration for the volumetric sweep. (This will work for any figure if its crosssectional area can be determined from h). 

Any rotated figure (washer method) (calculus required) 
and are functions expressing the outer and inner radii of the function, respectively.  
Klein bottle  No volume—it has no inside. 
The above formulas can be used to show that the volumes of a cone, sphere and cylinder of the same radius and height are in the ratio 1 : 2 : 3, as follows.
Let the radius be r and the height be h (which is 2r for the sphere), then the volume of cone is
the volume of the sphere is
while the volume of the cylinder is
The discovery of the 2 : 3 ratio of the volumes of the sphere and cylinder is credited to Archimedes.^{[5]}
The volume of a sphere is the integral of an infinite number of infinitesimally small circular slabs of thickness dx. The calculation for the volume of a sphere with center 0 and radius r is as follows.
The surface area of the circular slab is .
The radius of the circular slabs, defined such that the xaxis cuts perpendicularly through them, is;
or
where y or z can be taken to represent the radius of a slab at a particular x value.
Using y as the slab radius, the volume of the sphere can be calculated as
Now
Combining yields gives
This formula can be derived more quickly using the formula for the sphere's surface area, which is . The volume of the sphere consists of layers of infinitesimally small spherical slabs, and the sphere volume is equal to
=
The cone is a type of pyramidal shape. The fundamental equation for pyramids, onethird times base times altitude, applies to cones as well.
However, using calculus, the volume of a cone is the integral of an infinite number of infinitesimally small circular slabs of thickness dx. The calculation for the volume of a cone of height h, whose base is centered at (0,0,0) with radius r, is as follows.
The radius of each circular slab is r if x = 0 and 0 if x = h, and varying linearly in between—that is,
The surface area of the circular slab is then
The volume of the cone can then be calculated as
and after extraction of the constants:
Integrating gives us
The Wikibook Geometry has a page on the topic of 
The Wikibook Calculus has a page on the topic of 
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