Radius of Hypersphere given Surface Volume Calculator

✖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.ⓘ Surface Volume of Hypersphere [V_Surface]

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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 Surface Volume [r]

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Formula

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Radius of Hypersphere given Surface Volume

Formula

`"r" = ("V"_{"Surface"}/(2*pi^2))^(1/3)`

Example

`"5.021923m"=("2500m³"/(2*pi^2))^(1/3)`

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Radius of Hypersphere given Surface Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Hypersphere = (Surface Volume of Hypersphere/(2*pi^2))^(1/3)
r = (V_Surface/(2*pi^2))^(1/3)
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.
Surface Volume of Hypersphere - (Measured in Cubic Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Surface Volume of Hypersphere: 2500 Cubic Meter --> 2500 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = (V_Surface/(2*pi^2))^(1/3) --> (2500/(2*pi^2))^(1/3)

Evaluating ... ...

r = 5.02192345926244

STEP 3: Convert Result to Output's Unit

5.02192345926244 Meter --> No Conversion Required

FINAL ANSWER

5.02192345926244 ≈ 5.021923 Meter <-- Radius of Hypersphere

(Calculation completed in 00.004 seconds)

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Created by Divanshi Jain

Netaji Subhash University of Technology, Delhi (NSUT Delhi), Dwarka

Divanshi Jain has created this Calculator and 300+ more calculators!

Verified by Dhruv Walia

Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

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< 2 Radius of Hypersphere Calculators

Radius of Hypersphere given Surface Volume

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

Radius of Hypersphere given Hypervolume

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

Radius of Hypersphere given Surface Volume Formula

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

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 Surface Volume?

Radius of Hypersphere given Surface Volume calculator uses Radius of Hypersphere = (Surface Volume of Hypersphere/(2*pi^2))^(1/3) to calculate the Radius of Hypersphere, The Radius of Hypersphere given Surface Volume 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 surface volume of Hypersphere. Radius of Hypersphere is denoted by r symbol.

How to calculate Radius of Hypersphere given Surface Volume using this online calculator? To use this online calculator for Radius of Hypersphere given Surface Volume, enter Surface Volume of Hypersphere (V_Surface) and hit the calculate button. Here is how the Radius of Hypersphere given Surface Volume calculation can be explained with given input values -> 5.021923 = (2500/(2*pi^2))^(1/3).

FAQ

What is Radius of Hypersphere given Surface Volume?

The Radius of Hypersphere given Surface Volume 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 surface volume of Hypersphere and is represented as r = (V_Surface/(2*pi^2))^(1/3) or Radius of Hypersphere = (Surface Volume of Hypersphere/(2*pi^2))^(1/3). 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.

How to calculate Radius of Hypersphere given Surface Volume?

The Radius of Hypersphere given Surface Volume 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 surface volume of Hypersphere is calculated using Radius of Hypersphere = (Surface Volume of Hypersphere/(2*pi^2))^(1/3). To calculate Radius of Hypersphere given Surface Volume, you need Surface Volume of Hypersphere (V_Surface). With our tool, you need to enter the respective value for Surface Volume 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 Surface Volume of Hypersphere. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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