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Radius of Hypersphere given Hypervolume Calculator

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Hypersphere Tesseract

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Radius of Hypersphere Diameter of Hypersphere Hypervolume of Hypersphere Surface Volume 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 [V_Hyper]

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✖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 given Hypervolume [r]

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Radius of Hypersphere given Hypervolume Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Hypervolume of Hypersphere: 3100 Meter⁴ --> 3100 Meter⁴ No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = ((2*V_Hyper)/pi^2)^(1/4) --> ((2*3100)/pi^2)^(1/4)

Evaluating ... ...

r = 5.0063704918703

STEP 3: Convert Result to Output's Unit

5.0063704918703 Meter --> No Conversion Required

FINAL ANSWER

5.0063704918703 ≈ 5.00637 Meter <-- Radius of Hypersphere

(Calculation completed in 00.004 seconds)

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< Radius of Hypersphere Calculators

Radius of Hypersphere given Surface Volume

LaTeX Go Radius of Hypersphere = (Surface Volume of Hypersphere/(2*pi^2))^(1/3)

Radius of Hypersphere given Hypervolume

LaTeX Go Radius of Hypersphere = ((2*Hypervolume of Hypersphere)/pi^2)^(1/4)

Radius of Hypersphere given Hypervolume Formula

LaTeX Go

Radius of Hypersphere = ((2*Hypervolume of Hypersphere)/pi^2)^(1/4)
r = ((2*V_Hyper)/pi^2)^(1/4)

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 Radius of Hypersphere given Hypervolume?

Radius of Hypersphere given Hypervolume calculator uses Radius of Hypersphere = ((2*Hypervolume of Hypersphere)/pi^2)^(1/4) to calculate the Radius of Hypersphere, The Radius of Hypersphere given Hypervolume formula is defined as the distance from the center to any point on the Hypersphere which is the 4D extension of sphere in 3D and circle in 2D, calculated using hypervolume of Hypersphere. Radius of Hypersphere is denoted by r symbol.

How to calculate Radius of Hypersphere given Hypervolume using this online calculator? To use this online calculator for Radius of Hypersphere given Hypervolume, enter Hypervolume of Hypersphere (V_Hyper) and hit the calculate button. Here is how the Radius of Hypersphere given Hypervolume calculation can be explained with given input values -> 5.00637 = ((2*3100)/pi^2)^(1/4).

FAQ

What is Radius of Hypersphere given Hypervolume?

The Radius of Hypersphere given Hypervolume formula is defined as the distance from the center to any point on the Hypersphere which is the 4D extension of sphere in 3D and circle in 2D, calculated using hypervolume of Hypersphere and is represented as r = ((2*V_Hyper)/pi^2)^(1/4) or Radius of Hypersphere = ((2*Hypervolume of Hypersphere)/pi^2)^(1/4). 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.

How to calculate Radius of Hypersphere given Hypervolume?

The Radius of Hypersphere given Hypervolume formula is defined as the distance from the center to any point on the Hypersphere which is the 4D extension of sphere in 3D and circle in 2D, calculated using hypervolume of Hypersphere is calculated using Radius of Hypersphere = ((2*Hypervolume of Hypersphere)/pi^2)^(1/4). To calculate Radius of Hypersphere given Hypervolume, you need Hypervolume of Hypersphere (V_Hyper). With our tool, you need to enter the respective value for Hypervolume 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 Radius of Hypersphere?

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

Radius of Hypersphere = (Surface Volume of Hypersphere/(2*pi^2))^(1/3)

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