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Volume of Sphere Formula

GoVolume of Sphere given Surface to Volume Ratio Formula

GoVolume of Sphere given Diameter Formula

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Volume of Sphere is the total quantity of three dimensional space enclosed by the surface of the Sphere. Check FAQs

V = \frac{4}{3} \cdot π \cdot r^{3}

V - Volume of Sphere?r - Radius of Sphere?π - Archimedes' constant?

Volume of Sphere Example

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Here is how the Volume of Sphere equation looks like with Values.

Here is how the Volume of Sphere equation looks like with Units.

Here is how the Volume of Sphere equation looks like.

4188.7902 = \frac{4}{3} \cdot 3.1416 \cdot 10^{3}

4188.7902m³ = \frac{4}{3} \cdot 3.1416 \cdot {10m}^{3}

4188.7902 = \frac{4}{3} \cdot 3.1416 \cdot 10^{3}

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Volume of Sphere Solution

Follow our step by step solution on how to calculate Volume of Sphere?

FIRST Step Consider the formula

V = \frac{4}{3} \cdot π \cdot r^{3}

Next Step Substitute values of Variables

∴

V = \frac{4}{3} \cdot π \cdot {10m}^{3}

Next Step Substitute values of Constants

∴

V = \frac{4}{3} \cdot 3.1416 \cdot {10m}^{3}

Next Step Prepare to Evaluate

∴

V = \frac{4}{3} \cdot 3.1416 \cdot 10^{3}

Next Step Evaluate

∴

V = 4188.79020478639m³

LAST Step Rounding Answer

∴

V = 4188.7902m³

Volume of Sphere Formula Elements

Variables

Constants

Volume of Sphere

Volume of Sphere is the total quantity of three dimensional space enclosed by the surface of the Sphere.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Sphere

Radius of Sphere

Radius of Sphere is the distance from center of the Sphere to any point on the Sphere.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Sphere

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Volume of Sphere

Go Volume of Sphere given Surface to Volume Ratio

V = \frac{4}{3} \cdot π \cdot {(\frac{3}{R A/V})}^{3}

Go Volume of Sphere given Diameter

V = \frac{4}{3} \cdot π \cdot {(\frac{D}{2})}^{3}

Go Volume of Sphere given Surface Area

V = \frac{4}{3} \cdot π \cdot {(\frac{SA}{4 \cdot π})}^{\frac{3}{2}}

Go Volume of Sphere given Circumference

V = \frac{4 \cdot π}{3} \cdot {(\frac{C}{2 \cdot π})}^{3}

How to Evaluate Volume of Sphere?

Volume of Sphere evaluator uses Volume of Sphere = 4/3*pi*Radius of Sphere^3 to evaluate the Volume of Sphere, The Volume of Sphere formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Sphere. Volume of Sphere is denoted by V symbol.

How to evaluate Volume of Sphere using this online evaluator? To use this online evaluator for Volume of Sphere, enter Radius of Sphere (r) and hit the calculate button.

FAQs on Volume of Sphere

What is the formula to find Volume of Sphere?

The formula of Volume of Sphere is expressed as Volume of Sphere = 4/3*pi*Radius of Sphere^3. Here is an example- 4188.79 = 4/3*pi*10^3.

How to calculate Volume of Sphere?

With Radius of Sphere (r) we can find Volume of Sphere using the formula - Volume of Sphere = 4/3*pi*Radius of Sphere^3. This formula also uses Archimedes' constant .

What are the other ways to Calculate Volume of Sphere?

Here are the different ways to Calculate Volume of Sphere-

Volume of Sphere=4/3*pi*(3/Surface to Volume Ratio of Sphere)^3
Volume of Sphere=4/3*pi*(Diameter of Sphere/2)^3
Volume of Sphere=4/3*pi*(Surface Area of Sphere/(4*pi))^(3/2)

Can the Volume of Sphere be negative?

No, the Volume of Sphere, measured in Volume cannot be negative.

Which unit is used to measure Volume of Sphere?

Volume of Sphere is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Volume of Sphere can be measured.

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