Mathematical Calculators

Sphere Volume Calculator

It is a free calculator that can help you find the volume of a sphere.

Sphere Volume Calculator

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Table of contents

Ratio surface to volume
Sphere Facts
For a minor surface, a most significant volume.
Nature of a sphere
The volume of a sphere V is the area enclosed by a sphere. For example, it can be the space that a substance (solids, liquids, or gases) can occupy. Its length is expressed as cubic units, e.g. cubic meters m^3 or cubic feet cu ft.
These equations can be used to calculate the volume of a sphere:
Given radius : V = 4 / 3 * π * r^3
Given size: V = 1 / 6 * π * d^3 
Given area: V = √ ( A^3 / ( 36 * π ) )

Ratio surface to volume

It is interesting to note that the globe has the largest volume of all closed surfaces with the same surface area. The surface-to-volume ratio A / V is relatively high in comparison to other figures. It is easy to find an explicit formula to calculate the surface-to-volume ratio. The area is 4 * π * r^2, and the volume is 4 / 3 * π * r^3.
V = ( 4 * π * r^2) / ( 4 / 3 * π * r^3) = 3 / r or, if radius is half the diameter r = d / 2, then A / V = 6 / d

Sphere Facts

Sphere is perfectly symmetrical
All points above the surface have a similar distance "r” from centre
Sphere does not have edges. vertices (corners).
Sphere has one Surface It is not a "face", as it's not flat.

For a minor surface, a most significant volume.

A sphere is the most surface-efficient shape of all. It can also have the largest volume for a fixed area.
Example: When you blow up a balloon, it will naturally form a sphere. This is because it wants to hold as much air as it can with the as little surface. To see the results, press the Play button.

Nature of a sphere

When a surface needs to be as small and compact as possible, the sphere is what you see in nature. Bubbles and water drops are two examples.


cubic inches cubic feet cubic yards us liquid gallons us dry gallons imp liquid gallons barrels (oil) cups fluid ounces (UK) fluid ounces (US) pints (UK)
cubic meter 6.1 10^4 35.3 1.30^8 264.2 227 220 6.29 4227 3.52 10^4 3.38 10^4 1760
cubic decimeter 61.02 0.035 1.3 10^-3 0.264 0.227 0.22 0.006 4.23 35.2 33.8 1.76
cubic centimeter 0.061 3.5 10^-5 1.3 10^-6 2.64 10^-4 2.27 10^-4 2.2 10^-4 6.29 10^-6 4.2 10^-3 3.5 10^-2 3.34 10^-2 1.76 10^3
cubic millimeter 6.1 10^-5 3.5 10^-8 1.31 10^-9 2.64 10^-7 2.27 10^-7 2.2 10^-7 6.3 10^-9 4.2 10^-6 3.5 10^-5 3.4 10^-5 1.76 10^-6
hectoliters 6.1 10^3 3.53 0.13 26.4 22.7 22 0.63 423 3.5 10^3 3381 176
liters 61 3.5 10^-2 1.3 10^-3 0.26 0.23 0.22 6.3 10^-3 4.2 35.2 33.8 1.76
centiliters 0.61 3.5 10^-4 1.3 10^-5 2.6 10^-3 2.3 10^-3 2.2 10^-3 6.3 10^-5 4.2 10^-2 0.35 0.338 1.76 10^-2
milliliters 6.1 10^-2 3.5 10^-5 1.3 10^-6 2.6 10^-4 2.3 10^-4 2.2 10^-4 6.3 10^-6 4.2 10^-3 3.5 10^-2 3.4 10^-2 1.76 10^-3
cubic inches 1 5.79 10^-4 2.1 10^-5 4.3 10^-3 3.7 10^-3 3.6 10^-3 10-4 6.9 10^-2 0.58 0.55 2.9 10^-2
cubic feet 1728 1 0.037 7.48 6.43 6.23 0.18 119.7 997 958 49.8
cubic yards 4.7 104 27 1 202 173.6 168.2 4.8 3232 2.69 104 2.59 104 1345
us liquid gallons 231 0.134 4.95 10^-3 1 0.86 0.83 0.024 16 133.2 128 6.7
us dry gallons 268.8 0.156 5.76 10^-3 1.16 1 0.97 0.028 18.62 155 148.9 7.75
imp liquid gallons 277.4 0.16 5.9 10^-3 1.2 1.03 1 0.029 19.2 160 153.7 8
barrels (oil) 9702 5.61 0.21 42 36.1 35 1 672 5596 5376 279.8
cups 14.4 8.4 10^-3 3.1 10^-4 6.2 10^-2 5.4 10^-2 5.2 10^-2 1.5 10^-3 1 8.3 8 0.4
fluid ounces (UK) 1.73 10^-3 3.7 10^-5 7.5 10^-3 6.45 10^-3 6.25 10^-3 1.79 10^-4 0.12 1 0.96 5 10^-2
fluid ounces (US) 1.8 10^-3 3.87 10^-5 7.8 10^-3 6.7 10^-3 6.5 10^-3 1.89 10^-4 0.13 1.04 1 0.052
pints (UK) 34.7 0.02 7.4 10^-4 0.15 0.129 0.125 3.57 103 2.4 20 19.2 1
Parmis Kazemi
Article author
Parmis Kazemi
Parmis is a content creator who has a passion for writing and creating new things. She is also highly interested in tech and enjoys learning new things.
Sphere Volume Calculator English
Published: Thu Aug 04 2022
In category Mathematical calculators
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