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Diameter of Sphere given Volume Formula

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

D = 2 \cdot {(\frac{3 \cdot V}{4 \cdot π})}^{\frac{1}{3}}

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

Diameter of Sphere given Volume Example

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

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

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

20.0178 = 2 \cdot {(\frac{3 \cdot 4200}{4 \cdot 3.1416})}^{\frac{1}{3}}

20.0178m = 2 \cdot {(\frac{3 \cdot 4200m³}{4 \cdot 3.1416})}^{\frac{1}{3}}

20.0178 = 2 \cdot {(\frac{3 \cdot 4200}{4 \cdot 3.1416})}^{\frac{1}{3}}

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Diameter of Sphere given Volume Solution

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

FIRST Step Consider the formula

D = 2 \cdot {(\frac{3 \cdot V}{4 \cdot π})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

D = 2 \cdot {(\frac{3 \cdot 4200m³}{4 \cdot π})}^{\frac{1}{3}}

Next Step Substitute values of Constants

∴

D = 2 \cdot {(\frac{3 \cdot 4200m³}{4 \cdot 3.1416})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

D = 2 \cdot {(\frac{3 \cdot 4200}{4 \cdot 3.1416})}^{\frac{1}{3}}

Next Step Evaluate

∴

D = 20.0178250518496m

LAST Step Rounding Answer

∴

D = 20.0178m

Diameter of Sphere given Volume Formula Elements

Variables

Constants

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

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

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 Diameter of Sphere

Go Diameter of Sphere

D = 2 \cdot r

Go Diameter of Sphere given Surface Area

D = \sqrt{\frac{SA}{π}}

Go Diameter of Sphere given Surface to Volume Ratio

D = \frac{6}{R A/V}

Go Diameter of Sphere given Circumference

D = \frac{C}{π}

How to Evaluate Diameter of Sphere given Volume?

Diameter of Sphere given Volume evaluator uses Diameter of Sphere = 2*((3*Volume of Sphere)/(4*pi))^(1/3) to evaluate the Diameter of Sphere, Diameter of Sphere given Volume formula is defined as the distance from one point to other point on the Sphere which is collinear with the center of the Sphere, and calculated using the volume of the Sphere. Diameter of Sphere is denoted by D symbol.

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

FAQs on Diameter of Sphere given Volume

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

The formula of Diameter of Sphere given Volume is expressed as Diameter of Sphere = 2*((3*Volume of Sphere)/(4*pi))^(1/3). Here is an example- 20.01783 = 2*((3*4200)/(4*pi))^(1/3).

How to calculate Diameter of Sphere given Volume?

With Volume of Sphere (V) we can find Diameter of Sphere given Volume using the formula - Diameter of Sphere = 2*((3*Volume of Sphere)/(4*pi))^(1/3). This formula also uses Archimedes' constant .

What are the other ways to Calculate Diameter of Sphere?

Here are the different ways to Calculate Diameter of Sphere-

Diameter of Sphere=2*Radius of Sphere
Diameter of Sphere=sqrt(Surface Area of Sphere/pi)
Diameter of Sphere=6/Surface to Volume Ratio of Sphere

Can the Diameter of Sphere given Volume be negative?

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

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

Diameter of Sphere given Volume is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Diameter of Sphere given Volume can be measured.

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