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Hypervolume of Hypersphere Calculator

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Hypersphere Tesseract

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Hypervolume of Hypersphere Diameter of Hypersphere Radius of Hypersphere Surface Volume of Hypersphere

✖The Radius of Hypersphere is the distance from the center to any point on the Hypersphere which is the 4D extension of sphere in 3D and circle in 2D.ⓘ Radius of Hypersphere [r]

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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.ⓘ Hypervolume of Hypersphere [V_Hyper]

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Hypervolume of Hypersphere Solution

STEP 0: Pre-Calculation Summary

Formula Used

Hypervolume of Hypersphere = ((pi^2)/2)*(Radius of Hypersphere^4)
V_Hyper = ((pi^2)/2)*(r^4)
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Hypervolume of Hypersphere - (Measured in Meter⁴) - 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.
Radius of Hypersphere - (Measured in Meter) - The Radius of Hypersphere is the distance from the center to any point on the Hypersphere which is the 4D extension of sphere in 3D and circle in 2D.

STEP 1: Convert Input(s) to Base Unit

Radius of Hypersphere: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_Hyper = ((pi^2)/2)*(r^4) --> ((pi^2)/2)*(5^4)

Evaluating ... ...

V_Hyper = 3084.25137534042

STEP 3: Convert Result to Output's Unit

3084.25137534042 Meter⁴ --> No Conversion Required

FINAL ANSWER

3084.25137534042 ≈ 3084.251 Meter⁴ <-- Hypervolume of Hypersphere

(Calculation completed in 00.004 seconds)

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< Hypervolume of Hypersphere Calculators

Hypervolume of Hypersphere given Surface Volume

LaTeX Go Hypervolume of Hypersphere = pi^2/2*(Surface Volume of Hypersphere/(2*pi^2))^(4/3)

Hypervolume of Hypersphere

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

Hypervolume of Hypersphere Formula

LaTeX Go

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

What is a Hypersphere?

Hypersphere is basically the sphere in 4th dimension. This is the expansion of circle (2D) and sphere (3D) into a fourth dimension of space. This doesn't exist in our three-dimensional world, but calculations regarding Hyperspheres can easily be done by extending the formulas of 3D sphere into 4D.

How to Calculate Hypervolume of Hypersphere?

Hypervolume of Hypersphere calculator uses Hypervolume of Hypersphere = ((pi^2)/2)*(Radius of Hypersphere^4) to calculate the 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. Hypervolume of Hypersphere is denoted by V_Hyper symbol.

How to calculate Hypervolume of Hypersphere using this online calculator? To use this online calculator for Hypervolume of Hypersphere, enter Radius of Hypersphere (r) and hit the calculate button. Here is how the Hypervolume of Hypersphere calculation can be explained with given input values -> 3084.251 = ((pi^2)/2)*(5^4).

FAQ

What is 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 and is represented as V_Hyper = ((pi^2)/2)*(r^4) or Hypervolume of Hypersphere = ((pi^2)/2)*(Radius of Hypersphere^4). The Radius of Hypersphere is the distance from the center to any point on the Hypersphere which is the 4D extension of sphere in 3D and circle in 2D.

How to calculate 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 is calculated using Hypervolume of Hypersphere = ((pi^2)/2)*(Radius of Hypersphere^4). To calculate Hypervolume of Hypersphere, you need Radius of Hypersphere (r). With our tool, you need to enter the respective value for Radius of Hypersphere and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Hypervolume of Hypersphere?

In this formula, Hypervolume of Hypersphere uses Radius of Hypersphere. We can use 1 other way(s) to calculate the same, which is/are as follows -

Hypervolume of Hypersphere = pi^2/2*(Surface Volume of Hypersphere/(2*pi^2))^(4/3)

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