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Surface Volume of Hypersphere Formula

GoSurface Volume of Hypersphere given Hypervolume 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 (r^{3})

V_Surface - Surface Volume of Hypersphere?r - Radius of Hypersphere?π - Archimedes' constant?

Surface Volume of Hypersphere Example

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

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

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

2467.4011 = (2 \cdot ({3.1416}^{2})) \cdot (5^{3})

2467.4011m³ = (2 \cdot ({3.1416}^{2})) \cdot ({5m}^{3})

2467.4011 = (2 \cdot ({3.1416}^{2})) \cdot (5^{3})

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Surface Volume of Hypersphere Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V Surface = (2 \cdot (π^{2})) \cdot ({5m}^{3})

Next Step Substitute values of Constants

∴

V Surface = (2 \cdot ({3.1416}^{2})) \cdot ({5m}^{3})

Next Step Prepare to Evaluate

∴

V Surface = (2 \cdot ({3.1416}^{2})) \cdot (5^{3})

Next Step Evaluate

∴

V Surface = 2467.40110027234m³

LAST Step Rounding Answer

∴

V Surface = 2467.4011m³

Surface Volume of Hypersphere 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

Radius 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.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius 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 given Hypervolume

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

How to Evaluate Surface Volume of Hypersphere?

Surface Volume of Hypersphere evaluator uses Surface Volume of Hypersphere = (2*(pi^2))*(Radius of Hypersphere^3) to evaluate 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 evaluate Surface Volume of Hypersphere using this online evaluator? To use this online evaluator for Surface Volume of Hypersphere, enter Radius of Hypersphere (r) and hit the calculate button.

FAQs on Surface Volume of Hypersphere

What is the formula to find Surface Volume of Hypersphere?

The formula of Surface Volume of Hypersphere is expressed as Surface Volume of Hypersphere = (2*(pi^2))*(Radius of Hypersphere^3). Here is an example- 2467.401 = (2*(pi^2))*(5^3).

How to calculate Surface Volume of Hypersphere?

With Radius of Hypersphere (r) we can find Surface Volume of Hypersphere using the formula - Surface Volume of Hypersphere = (2*(pi^2))*(Radius of Hypersphere^3). 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*((2*Hypervolume of Hypersphere)/pi^2)^(3/4)

Can the Surface Volume of Hypersphere be negative?

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

Which unit is used to measure Surface Volume of Hypersphere?

Surface Volume of Hypersphere 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 can be measured.

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