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Volume of Sphere given Diameter Formula

GoVolume of Sphere given Surface to Volume Ratio Formula

GoVolume of Sphere given Surface Area 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 {(\frac{D}{2})}^{3}

V - Volume of Sphere?D - Diameter of Sphere?π - Archimedes' constant?

Volume of Sphere given Diameter Example

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

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

Here is how the Volume of Sphere given Diameter equation looks like.

4188.7902 = \frac{4}{3} \cdot 3.1416 \cdot {(\frac{20}{2})}^{3}

4188.7902m³ = \frac{4}{3} \cdot 3.1416 \cdot {(\frac{20m}{2})}^{3}

4188.7902 = \frac{4}{3} \cdot 3.1416 \cdot {(\frac{20}{2})}^{3}

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Volume of Sphere given Diameter Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = \frac{4}{3} \cdot π \cdot {(\frac{20m}{2})}^{3}

Next Step Substitute values of Constants

∴

V = \frac{4}{3} \cdot 3.1416 \cdot {(\frac{20m}{2})}^{3}

Next Step Prepare to Evaluate

∴

V = \frac{4}{3} \cdot 3.1416 \cdot {(\frac{20}{2})}^{3}

Next Step Evaluate

∴

V = 4188.79020478639m³

LAST Step Rounding Answer

∴

V = 4188.7902m³

Volume of Sphere given Diameter 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

Diameter of Sphere

Diameter of Sphere is the distance from one point to other point on the Sphere which is collinear with the center of the Sphere.

Symbol: D

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter 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 Surface Area

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

Go Volume of Sphere

V = \frac{4}{3} \cdot π \cdot r^{3}

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 given Diameter?

Volume of Sphere given Diameter evaluator uses Volume of Sphere = 4/3*pi*(Diameter of Sphere/2)^3 to evaluate the Volume of Sphere, Volume of Sphere given Diameter formula is defined as the total quantity of three dimensional space enclosed by the surface of the Sphere, and calculated using the diameter of the Sphere. Volume of Sphere is denoted by V symbol.

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

FAQs on Volume of Sphere given Diameter

What is the formula to find Volume of Sphere given Diameter?

The formula of Volume of Sphere given Diameter is expressed as Volume of Sphere = 4/3*pi*(Diameter of Sphere/2)^3. Here is an example- 4188.79 = 4/3*pi*(20/2)^3.

How to calculate Volume of Sphere given Diameter?

With Diameter of Sphere (D) we can find Volume of Sphere given Diameter using the formula - Volume of Sphere = 4/3*pi*(Diameter of Sphere/2)^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*(Surface Area of Sphere/(4*pi))^(3/2)
Volume of Sphere=4/3*pi*Radius of Sphere^3

Can the Volume of Sphere given Diameter be negative?

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

Which unit is used to measure Volume of Sphere given Diameter?

Volume of Sphere given Diameter 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 given Diameter can be measured.

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