Unit Volume Converter

Definition of volume:

Volume is how much three-dimensional space a substance (solid, liquid, gas, or plasma) or shape occupies or contains, often quantified numerically using the SI derived unit, the cubic meters. 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.

(Source: Wikipedia)


Definition of unit converter:

Conversion factors between different units of measurement for the equal quantity is called as Unit converter or conversion.

Volume formulas:

Cube = side3
Rectangular Prism = side1 * side2 * side3
Sphere = (4/3) * `pi` * radius3
Ellipsoid = (4/3) *`pi` * radius1 * radius2 * radius3
Cylinder =`pi` * radius2 * height
Cone = (1/3) * `pi`* radius2 * height
Pyramid = (1/3) * (base area) * height
Torus = (1/4) *`pi` 2 * (r1 + r2) * (r1 - r2)


Example problem for unit volume converter:

Example 1:

Find the volume for the given cylinder with radius = 22 cm and height = 30 cm.



Solution:

Volume formula for cylinder

V = `pi` r2h

Here `pi`= 3.14 or 22/7

Given

Radius r = 22 cm

Height h = 30 cm

V = 3.14 * 222 * 30

= 3.14 * 22 * 22 * 30

= 3.14 * 484 * 30

= 3.14 * 14520

= 45592.8 cm3.

Solution to the volume of the given cylinder is 45592.8 cm3.

Different unit converter for volume:

Here we convert the cubic centimeters into different units such as centiliters, deciliters, Liters, milliliters and barrels.

45592.8 cm3 = 4559.28 centiliters

45592.8 cm3 = 455.928 deciliters

45592.8 cm3 = 45.5928 L

45592.8 cm3 = 45592800 milliliters

45592.8 cm3 = 0.28677 barrels.

Example 2:

Find the volume for the given cone with radius = 12 m and height = 16 m.



Solution:

Volume formula for cone

V = (1/3) *`pi` * radius2 * height

Given

Raidus r = 12 m

Height h = 16 m

Here we use `pi` = 3.14

= (1/3) * 3.14 * 122 * 16

= `(1)/(3)`* 3.14 * 12 * 12 * 16

= `(1)/(3)` * 3.14 * 144 * 16

= `(1)/(3)` * 3.14 * 2304

= `(1)/(3)` * 7234.56

= 2411.52 m3 .

Solution to the volume for the given cone is 2411.52 m3


Different unit converter for the given cone volume:

Here we convert the cubic meters into different units such as centiliters, deciliters, Liters, milliliters and barrels.

2411.52 m3 = 241152000 centiliters.

2411.52 m3 = 2411520000 Liters.

2411.52 m3 = 24115200 deciliters.

2411.52 m3 = 2411520 milliliters.

2411.52 m3 = 15168.004469 barrels.