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Surface Volume of Hypersphere given Hypervolume Formula

GoSurface Volume of Hypersphere Formula

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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. Check FAQs

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

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

Surface Volume of Hypersphere given Hypervolume Example

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

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

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

2476.8443 = 2 \cdot {3.1416}^{2} \cdot {(\frac{2 \cdot 3100}{{3.1416}^{2}})}^{\frac{3}{4}}

2476.8443m³ = 2 \cdot {3.1416}^{2} \cdot {(\frac{2 \cdot 3100m⁴}{{3.1416}^{2}})}^{\frac{3}{4}}

2476.8443 = 2 \cdot {3.1416}^{2} \cdot {(\frac{2 \cdot 3100}{{3.1416}^{2}})}^{\frac{3}{4}}

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Surface Volume of Hypersphere given Hypervolume Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V Surface = 2 \cdot π^{2} \cdot {(\frac{2 \cdot 3100m⁴}{π^{2}})}^{\frac{3}{4}}

Next Step Substitute values of Constants

∴

V Surface = 2 \cdot {3.1416}^{2} \cdot {(\frac{2 \cdot 3100m⁴}{{3.1416}^{2}})}^{\frac{3}{4}}

Next Step Prepare to Evaluate

∴

V Surface = 2 \cdot {3.1416}^{2} \cdot {(\frac{2 \cdot 3100}{{3.1416}^{2}})}^{\frac{3}{4}}

Next Step Evaluate

∴

V Surface = 2476.84425675966m³

LAST Step Rounding Answer

∴

V Surface = 2476.8443m³

Surface Volume of Hypersphere given Hypervolume Formula Elements

Variables

Constants

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

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

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 Surface Volume of Hypersphere

Go Surface Volume of Hypersphere

V Surface = (2 \cdot (π^{2})) \cdot (r^{3})

How to Evaluate Surface Volume of Hypersphere given Hypervolume?

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

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

FAQs on Surface Volume of Hypersphere given Hypervolume

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

The formula of Surface Volume of Hypersphere given Hypervolume is expressed as Surface Volume of Hypersphere = 2*pi^2*((2*Hypervolume of Hypersphere)/pi^2)^(3/4). Here is an example- 2476.844 = 2*pi^2*((2*3100)/pi^2)^(3/4).

How to calculate Surface Volume of Hypersphere given Hypervolume?

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

What are the other ways to Calculate Surface Volume of Hypersphere?

Here are the different ways to Calculate Surface Volume of Hypersphere-

Surface Volume of Hypersphere=(2*(pi^2))*(Radius of Hypersphere^3)

Can the Surface Volume of Hypersphere given Hypervolume be negative?

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

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

Surface Volume of Hypersphere given Hypervolume 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 Surface Volume of Hypersphere given Hypervolume can be measured.

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