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Hypervolume of Hypersphere given Surface Volume Formula

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The Hypervolume of Hypersphere is the 4-dimensional volume of the 4D object Hypersphere which is the 4D extension of the sphere in 3D and a circle in 2D. Check FAQs

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

V_Hyper - Hypervolume of Hypersphere?V_Surface - Surface Volume of Hypersphere?π - Archimedes' constant?

Hypervolume of Hypersphere given Surface Volume Example

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Here is how the Hypervolume of Hypersphere given Surface Volume equation looks like with Values.

Here is how the Hypervolume of Hypersphere given Surface Volume equation looks like with Units.

Here is how the Hypervolume of Hypersphere given Surface Volume equation looks like.

3138.7022 = \frac{{3.1416}^{2}}{2} \cdot {(\frac{2500}{2 \cdot {3.1416}^{2}})}^{\frac{4}{3}}

3138.7022m⁴ = \frac{{3.1416}^{2}}{2} \cdot {(\frac{2500m³}{2 \cdot {3.1416}^{2}})}^{\frac{4}{3}}

3138.7022 = \frac{{3.1416}^{2}}{2} \cdot {(\frac{2500}{2 \cdot {3.1416}^{2}})}^{\frac{4}{3}}

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Hypervolume of Hypersphere given Surface Volume Solution

Follow our step by step solution on how to calculate Hypervolume of Hypersphere given Surface Volume?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V Hyper = \frac{π^{2}}{2} \cdot {(\frac{2500m³}{2 \cdot π^{2}})}^{\frac{4}{3}}

Next Step Substitute values of Constants

∴

V Hyper = \frac{{3.1416}^{2}}{2} \cdot {(\frac{2500m³}{2 \cdot {3.1416}^{2}})}^{\frac{4}{3}}

Next Step Prepare to Evaluate

∴

V Hyper = \frac{{3.1416}^{2}}{2} \cdot {(\frac{2500}{2 \cdot {3.1416}^{2}})}^{\frac{4}{3}}

Next Step Evaluate

∴

V Hyper = 3138.70216203902m⁴

LAST Step Rounding Answer

∴

V Hyper = 3138.7022m⁴

Hypervolume of Hypersphere given Surface Volume Formula Elements

Variables

Constants

Hypervolume of Hypersphere

The Hypervolume of Hypersphere is the 4-dimensional volume of the 4D object Hypersphere which is the 4D extension of the sphere in 3D and a circle in 2D.

Symbol: V_Hyper

Measurement: Four-Dimensional HypervolumeUnit: m⁴

Note: Value should be greater than 0.

Formulas to find Hypervolume of Hypersphere

Surface Volume of Hypersphere

The Surface Volume of Hypersphere is the volume of the surface of the Hypersphere which is the 4D extension of sphere in 3D and circle in 2D.

Symbol: V_Surface

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Surface Volume of Hypersphere

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 Hypervolume of Hypersphere

Go Hypervolume of Hypersphere

V Hyper = (\frac{π^{2}}{2}) \cdot (r^{4})

How to Evaluate Hypervolume of Hypersphere given Surface Volume?

Hypervolume of Hypersphere given Surface Volume evaluator uses Hypervolume of Hypersphere = pi^2/2*(Surface Volume of Hypersphere/(2*pi^2))^(4/3) to evaluate the Hypervolume of Hypersphere, The Hypervolume of Hypersphere given Surface Volume formula is defined as the 4-dimensional volume of the 4D object Hypersphere which is the 4D extension of the sphere in 3D and a circle in 2D, calculated using surface volume of Hypersphere. Hypervolume of Hypersphere is denoted by V_Hyper symbol.

How to evaluate Hypervolume of Hypersphere given Surface Volume using this online evaluator? To use this online evaluator for Hypervolume of Hypersphere given Surface Volume, enter Surface Volume of Hypersphere (V_Surface) and hit the calculate button.

FAQs on Hypervolume of Hypersphere given Surface Volume

What is the formula to find Hypervolume of Hypersphere given Surface Volume?

The formula of Hypervolume of Hypersphere given Surface Volume is expressed as Hypervolume of Hypersphere = pi^2/2*(Surface Volume of Hypersphere/(2*pi^2))^(4/3). Here is an example- 3138.702 = pi^2/2*(2500/(2*pi^2))^(4/3).

How to calculate Hypervolume of Hypersphere given Surface Volume?

With Surface Volume of Hypersphere (V_Surface) we can find Hypervolume of Hypersphere given Surface Volume using the formula - Hypervolume of Hypersphere = pi^2/2*(Surface Volume of Hypersphere/(2*pi^2))^(4/3). This formula also uses Archimedes' constant .

What are the other ways to Calculate Hypervolume of Hypersphere?

Here are the different ways to Calculate Hypervolume of Hypersphere-

Hypervolume of Hypersphere=((pi^2)/2)*(Radius of Hypersphere^4)

Can the Hypervolume of Hypersphere given Surface Volume be negative?

No, the Hypervolume of Hypersphere given Surface Volume, measured in Four-Dimensional Hypervolume cannot be negative.

Which unit is used to measure Hypervolume of Hypersphere given Surface Volume?

Hypervolume of Hypersphere given Surface Volume is usually measured using the Meter⁴[m⁴] for Four-Dimensional Hypervolume. are the few other units in which Hypervolume of Hypersphere given Surface Volume can be measured.

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