Volume Translation

Definition of volume:

Volume is how much three-dimensional space a substance (solid, liquid, gas, or plasma) or shape occupies or contains,[1] 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 volume translation:

Volume translation is the process translating the volume into different types of unit. For example, we take the cylinder and calculate its volume and it can be in the form of cubic meters. It can be translated into different units that are cubic milliliters, Liters, Centiliters etc., Volume translation is the process of calculating the different units.

Different formulas for volume:

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)2


Example problem for volume translation:

Example 1:

Find the volume for the given cylinder with radius = 14 m and height = 24 m.

volume

Solution:

Volume formula for cylinder

V = `pi` r2h

Here `pi` = 3.14 or 22/7

r = 14 m

h = 24 m

V = 3.14 * 142 * 24

= 3.14 * 14 * 14 * 24

= 3.14 * 196 * 25

= 3.14 * 4900

= 15386 m3.

Different translation of volume:

15386 m3 = 1538600000 centiliters

15386 m3 = 153860000 deciliters

15386 m3 = 15386000 L

15386 m3 = 15386000000 cubic milliliters

15386 m3 = 96775.028514 barrels.

Example 2:

Find the volume for the given cone with radius = 8 cm and height = 12 cm.

cone

Solution:

Volume formula for cone

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

Here we use pi = 3.14

= (1/3) * 3.14 * 82` * 12`

` = (1/3) * 3.14 * 8 * 8 * 12`

` = (1/3) * 3.14 * 8 * 8 * 12`

` = 3.14 * 64 * 4`

` = 3.14 * 256`

` = 803.84 `cm3`.`

Different translation of volume:

`803.84 `cm3 = 80.383976 centiliters

`803.84 `cm3 = 8.038398 deciliters

`803.84 `cm3 = 0.80384 L

`803.84 `cm3= 803839.763 cubic milliliters

`803.84 `cm3 = 0.005056 barrels.