Surface Volume of Hypersphere Calculator

✖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 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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Formula

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Surface Volume of Hypersphere

Formula

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

Example

`"2467.401m³"=(2*(pi^2))*(("5m")^3)`

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Surface Volume of Hypersphere Solution

STEP 0: Pre-Calculation Summary

Formula Used

Surface Volume of Hypersphere = (2*(pi^2))*(Radius of Hypersphere^3)
V_Surface = (2*(pi^2))*(r^3)
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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_Surface = (2*(pi^2))*(r^3) --> (2*(pi^2))*(5^3)

Evaluating ... ...

V_Surface = 2467.40110027234

STEP 3: Convert Result to Output's Unit

2467.40110027234 Cubic Meter --> No Conversion Required

FINAL ANSWER

2467.40110027234 ≈ 2467.401 Cubic Meter <-- Surface Volume of Hypersphere

(Calculation completed in 00.004 seconds)

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< 2 Surface Volume of Hypersphere Calculators

Surface Volume of Hypersphere given Hypervolume

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

Surface Volume of Hypersphere

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

Surface Volume of Hypersphere Formula

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

Surface Volume of Hypersphere calculator uses Surface Volume of Hypersphere = (2*(pi^2))*(Radius of Hypersphere^3) to calculate the Surface Volume of Hypersphere, The Surface Volume of Hypersphere is the volume of the surface of the Hypersphere which is the 4D extension of the sphere in 3D and the circle in 2D. Surface Volume of Hypersphere is denoted by V_Surface symbol.

How to calculate Surface Volume of Hypersphere using this online calculator? To use this online calculator for Surface Volume of Hypersphere, enter Radius of Hypersphere (r) and hit the calculate button. Here is how the Surface Volume of Hypersphere calculation can be explained with given input values -> 2467.401 = (2*(pi^2))*(5^3).

FAQ

What is Surface Volume of Hypersphere?

The Surface Volume of Hypersphere is the volume of the surface of the Hypersphere which is the 4D extension of the sphere in 3D and the circle in 2D and is represented as V_Surface = (2*(pi^2))*(r^3) or Surface Volume of Hypersphere = (2*(pi^2))*(Radius of Hypersphere^3). 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 Surface Volume of Hypersphere?

The Surface Volume of Hypersphere is the volume of the surface of the Hypersphere which is the 4D extension of the sphere in 3D and the circle in 2D is calculated using Surface Volume of Hypersphere = (2*(pi^2))*(Radius of Hypersphere^3). To calculate Surface Volume 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 Surface Volume of Hypersphere?

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

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

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