volume

1. 1. A collection of written or printed sheets bound together; a book.
   2. One of the books of a work printed and bound in more than one book.
   3. A series of issues of a periodical, usually covering one calendar year.
   4. A unit of written material assembled together and cataloged in a library.
2. A roll of parchment; a scroll.
3. (Abbr. V)
   1. The amount of space occupied by a three-dimensional object or region of space, expressed in cubic units.
   2. The capacity of such a region or of a specified container, expressed in cubic units.
4. 1. Amount; quantity: a low volume of business; a considerable volume of lumber.
   2. A large amount. Often used in the plural: volumes of praise.
5. 1. The amplitude or loudness of a sound.
   2. A control, as on a radio, for adjusting amplitude or loudness.

[Middle English, from Old French, from Latin volūmen, roll of writing, from volvere, to roll.]

Symbol V. The space occupied by a body or mass of fluid.

A physical storage unit, such as a hard disk, floppy disk, disk cartridge, CD-ROM disc or reel of tape. See volume label and logical volume.

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The number of shares or contracts traded in a security or an entire market during a given period of time. It is simply the amount of shares that trade hands from sellers to buyers as a measure of activity. If a buyer of a stock purchases 100 shares from a seller, then the volume for that period increases by 100 shares based on that transaction.

Investopedia Says:
Volume is an important indicator in technical analysis as it is used to measure the worth of a market move. If the markets have made strong price move either up or down the perceived strength of that move depends on the volume for that period. The higher the volume during that price move the more significant the move.

Related Links:
Use this indicator to validate a change in price direction and moving averages. Volume Oscillator Confirms Price Movements
Without supportive volume a price movement has no conviction, so rely on the indicator that shows the trend in volume. Volume Rate of Change
ChartAdvisor experts illustrate why it's important to stick to your strategy. Tales From The Trenches: Don't Count On Luck
This straightforward histogram can help you analyze the buying and selling interest in a stock. Gauging Support And Resistance With Price By Volume
Discover what on-balance volume, accumulation/distribution and open interest can tell you about the market. Gauging The Market's Psychological State
Can your forex broker offer you the most competitive pricing? Learn how the market's biggest players affect you. The Foreign Exchange Interbank Market

Total number of stock shares, bonds, or commodities futures contracts traded in a particular period. Volume figures are reported daily by exchanges, both for individual issues trading and for the total amount of trading executed on the exchange. Technical analysts place great emphasis on the amount of volume that occurs in the trading of a security or a commodity futures contract. A sharp rise in volume is believed to signify future sharp rises or falls in price, because it reflects increased investor interest in a security, commodity, or market. See also Technical Analysis; Turnover.

noun

1. A printed and bound work: book, tome. See words.
2. An issue of printed material offered for sale or distribution: opus, publication, title, work. See words.
3. Great extent, amount, or dimension. amplitude, bulk, magnitude, mass, size. See big/small/amount.

Measure of the quantity of space occupied by a substance, such as air.

1. Measure of the amount of space occupied by a body.

2. In weight training, the total number of times a weight was lifted (sets × repetitions). For example, if the session was three sets of 10 repetitions, the volume would be 30. Volume indicates the total work performed.

In mathematics, the amount of space occupied by an object measured in three dimensions, expressed in cubic units. In physics, the loudness of a sound.

The space occupied by a substance or a three-dimensional region; the capacity of such a region or of a container.

• closing v. (CV) — the volume of gas in the lungs in excess of the residual volume at the time when small airways in the dependent portions close during maximal exhalation. See also closing volume.
• v. of distribution — the calculated body space available for distribution of a drug. Abbreviated V_d.
• minute v. — the volume of air expelled from the lungs per minute.
• v. overload — see heart failure.
• packed-cell v. (PCV) — the volume of packed red cells in milliliters per 100 ml of centrifuged blood. See also packed cell volume.

Magnitude or power level of audio frequency. Measured in volume units (VU).

For other uses, see Volume (disambiguation).

The volume of any solid, liquid, plasma, vacuum or theoretical object is how much three-dimensional space it occupies, often quantified numerically. One-dimensional figures (such as lines) and two-dimensional shapes such as square geometry squares are assigned zero volume in the three-dimensional space. Volume is commonly presented in units such as mililitres or cm³ (milliliters or cubic centimeters).

Volumes of some simple shapes, such as regular, straight-edged and circular shapes can be easily calculated using arithmetic formulas. More complicated shapes can be calculated by integral calculus if a formula exists for its boundary. The volume of any shape can be determined by displacement.

In differential geometry, volume is expressed by means of the volume form, and is an important global Riemannian invariant.

Volume is a fundamental parameter in thermodynamics and it is conjugate to pressure.

Conjugate variables of thermodynamics
Pressure	Volume
(Stress)	(Strain)
Temperature	Entropy
Chem. potential	Particle no.

Contents 1 Related terms 2 Traditional cooking measures 3 Volume formulas 4 Volume formula derivation 4.1 Sphere 4.2 Cone 5 See also

Related terms

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.

Volume and capacity are sometimes distinguished, with capacity being used for how much a container can hold (with contents measured commonly in liters or its derived units), and volume being how much space an object displaces (commonly measured in cubic meters or its derived units).

Volume and capacity are also distinguished in a capacity management setting, where capacity is defined as volume over a specified time period.

Traditional cooking measures

measure	US	Imperial	metric
teaspoon	1/6 U.S. fluid ounce (about 4.929 mL)	1/6 Imperial fluid ounce (about 4.736 mL)	5 mL
tablespoon = 3 teaspoons	½ U.S. fluid ounce (about 14.79 mL)	½ Imperial fluid ounce (about 14.21 mL)	15 mL
cup	8 U.S. fluid ounces or ½ U.S. liquid pint (about 237 mL)	8 Imperial fluid ounces or 2/5 fluid pint (about 227 mL)	250 mL

In the UK, a tablespoon can also be five fluidrams (about 17.76 mL).

Volume formulas

Shape	Equation	Variables
A cube		a = length of any side (or edge)
A rectangular prism:		l = length, w = width, h = height
A cylinder:		r = radius of circular face, h = height
A general prism:		B = area of the base, h = height
A sphere:		r = radius of sphere which is the integral of the Surface Area of a sphere
An ellipsoid:		a, b, c = semi-axes of ellipsoid
A pyramid:		B = area of the base, h = height of pyramid
A cone (circular-based pyramid):		r = radius of circle at base, h = distance from base to tip
Any figure (calculus required)		h = any dimension of the figure, A(h) = area of the cross-sections perpendicular to h described as a function of the position along h. This will work for any figure if its cross-sectional area can be determined from h (no matter if the prism is slanted or the cross-sections change shape).

The units of volume depend on the units of length. If the lengths are in meters, the volume will be in cubic meters.

For their volume formulas, see the articles on tetrahedron and parallelepiped.

Volume formula derivation

Sphere

The volume of a sphere is the integral of infinitesimal circular slabs of thickness dx. The calculation for the volume of a sphere with center 0 and radius r is as follows.

The radius of the circular slabs is

The surface area of the circular slab is πy².

The volume of the sphere can be calculated as

Now

and

Combining yields

This formula can be derived more quickly using the formula for the sphere's surface area, which is 4πr². The volume of the sphere consists of layers of infinitesimal spherical slabs, and the sphere volume is equal to

=

Cone

The volume of a cone is the integral of infinitesimal circular slabs of thickness dx. The calculation for the volume of a cone of height h, whose base is centered at (0,0) with radius r is as follows.

The radius of each circular slab is , 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

See also

The Wikibook Calculus has a page on the topic of Volume

The Wikibook Geometry has a page on the topic of Perimeters, Areas, Volumes

• Area
• Conversion of units
• Density
• Dimensional weight
• Dimensioning
• Length
• Mass
• Orders of magnitude (volume)
• Specific volume
• Volume form
• Weight
• Gas volume

This entry is from Wikipedia, the leading user-contributed encyclopedia. It may not have been reviewed by professional editors (see full disclaimer)

Dansk (Danish)
n. - bind, nummer i rækken, årgang, rumfang, volumen, mængde, omfang

Nederlands (Dutch)
volume, boekdeel, jaargang, geluidssterkte, inhoud, album (muziek), papierrol, hoeveelheid, slinger/kring van rook etc., grote hoeveelheid, in boekdelen/albums etc. uitgeven, in volume toenemen, in/over een grote hoeveelheid

Français (French)
n. - (Mes, Phys) volume, capacité, volume, tome, (Audio) volume, puissance

Deutsch (German)
n. - Band, Lautstärke, Volumen, Rauminhalt, Umfang

Ελληνική (Greek)
n. - τόμος, (φυσ.) όγκος, κυβισμός, (τεχνολ.) ένταση ήχου, (μτφ.) (σημαντική) ποσότητα ή όγκος, σωρός, (οικον.) όγκος χρηματιστηριακών συναλλαγών

Italiano (Italian)
volume

idioms:

• speak volumes    dirla lunga

Português (Portuguese)
n. - volume (m), livro (m), capacidade (f)

idioms:

• speak volumes    falar muito

Русский (Russian)
том, объем, емкость, сила, клуб, переплетать в том

idioms:

• speak volumes    говорить многозначительно, выразительно

Español (Spanish)
n. - volumen, tomo, edición, capacidad

Svenska (Swedish)
n. - volym, band, omfång, tonstyrka, massa

中文（简体）(Chinese (Simplified))
体积, 册, 大小

中文（繁體）(Chinese (Traditional))
n. - 體積, 冊, 大小

한국어 (Korean)
n. - (전집 등의) 한 권, 다량, 음량

日本語 (Japanese)
n. - 冊, 巻, 本, 音量, 体積, 量, 大量, 書物, かさ, 多量

العربيه (Arabic)
‏(الاسم) مجلد ( كتاب), حجم, سعه, مفتاح الصوت ( مذياع)‏

עברית (Hebrew)
n. - ‮כרך, ספר, כמות, נפח, תפוסה, תכולה, שפעה, רוב, עוצמת קול, כמות גדולה‬

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