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Circumsphere Radius of Octahedron given Volume Formula

GoCircumsphere Radius of Octahedron given Insphere Radius Formula

GoCircumsphere Radius of Octahedron Formula

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Circumsphere Radius of Octahedron is the radius of the sphere that contains the Octahedron in such a way that all the vertices are lying on the sphere. Check FAQs

r c = \frac{{(\frac{3 \cdot V}{\sqrt{2}})}^{\frac{1}{3}}}{\sqrt{2}}

r_c - Circumsphere Radius of Octahedron?V - Volume of Octahedron?

Circumsphere Radius of Octahedron given Volume Example

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Here is how the Circumsphere Radius of Octahedron given Volume equation looks like with Values.

Here is how the Circumsphere Radius of Octahedron given Volume equation looks like with Units.

Here is how the Circumsphere Radius of Octahedron given Volume equation looks like.

7.064 = \frac{{(\frac{3 \cdot 470}{\sqrt{2}})}^{\frac{1}{3}}}{\sqrt{2}}

7.064m = \frac{{(\frac{3 \cdot 470m³}{\sqrt{2}})}^{\frac{1}{3}}}{\sqrt{2}}

7.064 = \frac{{(\frac{3 \cdot 470}{\sqrt{2}})}^{\frac{1}{3}}}{\sqrt{2}}

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Circumsphere Radius of Octahedron given Volume Solution

Follow our step by step solution on how to calculate Circumsphere Radius of Octahedron given Volume?

FIRST Step Consider the formula

r c = \frac{{(\frac{3 \cdot V}{\sqrt{2}})}^{\frac{1}{3}}}{\sqrt{2}}

Next Step Substitute values of Variables

∴

r c = \frac{{(\frac{3 \cdot 470m³}{\sqrt{2}})}^{\frac{1}{3}}}{\sqrt{2}}

Next Step Prepare to Evaluate

∴

r c = \frac{{(\frac{3 \cdot 470}{\sqrt{2}})}^{\frac{1}{3}}}{\sqrt{2}}

Next Step Evaluate

∴

r c = 7.06403822187062m

LAST Step Rounding Answer

∴

r c = 7.064m

Circumsphere Radius of Octahedron given Volume Formula Elements

Variables

Functions

Circumsphere Radius of Octahedron

Circumsphere Radius of Octahedron is the radius of the sphere that contains the Octahedron in such a way that all the vertices are lying on the sphere.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumsphere Radius of Octahedron

Volume of Octahedron

Volume of Octahedron is the total quantity of three dimensional space enclosed by the entire surface of the Octahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Octahedron

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Circumsphere Radius of Octahedron

Go Circumsphere Radius of Octahedron given Insphere Radius

r c = \sqrt{3} \cdot r i

Go Circumsphere Radius of Octahedron

r c = \frac{l e}{\sqrt{2}}

Go Circumsphere Radius of Octahedron given Midsphere Radius

r c = \sqrt{2} \cdot r m

Go Circumsphere Radius of Octahedron given Total Surface Area

r c = \sqrt{\frac{TSA}{4 \cdot \sqrt{3}}}

How to Evaluate Circumsphere Radius of Octahedron given Volume?

Circumsphere Radius of Octahedron given Volume evaluator uses Circumsphere Radius of Octahedron = ((3*Volume of Octahedron)/sqrt(2))^(1/3)/sqrt(2) to evaluate the Circumsphere Radius of Octahedron, The Circumsphere Radius of Octahedron given Volume formula is defined as the radius of the sphere that contains the Octahedron in such a way that all the vertices are lying on the sphere, and calculated using the volume of the Octahedron. Circumsphere Radius of Octahedron is denoted by r_c symbol.

How to evaluate Circumsphere Radius of Octahedron given Volume using this online evaluator? To use this online evaluator for Circumsphere Radius of Octahedron given Volume, enter Volume of Octahedron (V) and hit the calculate button.

FAQs on Circumsphere Radius of Octahedron given Volume

What is the formula to find Circumsphere Radius of Octahedron given Volume?

The formula of Circumsphere Radius of Octahedron given Volume is expressed as Circumsphere Radius of Octahedron = ((3*Volume of Octahedron)/sqrt(2))^(1/3)/sqrt(2). Here is an example- 7.064038 = ((3*470)/sqrt(2))^(1/3)/sqrt(2).

How to calculate Circumsphere Radius of Octahedron given Volume?

With Volume of Octahedron (V) we can find Circumsphere Radius of Octahedron given Volume using the formula - Circumsphere Radius of Octahedron = ((3*Volume of Octahedron)/sqrt(2))^(1/3)/sqrt(2). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Circumsphere Radius of Octahedron?

Here are the different ways to Calculate Circumsphere Radius of Octahedron-

Circumsphere Radius of Octahedron=sqrt(3)*Insphere Radius of Octahedron
Circumsphere Radius of Octahedron=Edge Length of Octahedron/sqrt(2)
Circumsphere Radius of Octahedron=sqrt(2)*Midsphere Radius of Octahedron

Can the Circumsphere Radius of Octahedron given Volume be negative?

No, the Circumsphere Radius of Octahedron given Volume, measured in Length cannot be negative.

Which unit is used to measure Circumsphere Radius of Octahedron given Volume?

Circumsphere Radius of Octahedron given Volume is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Circumsphere Radius of Octahedron given Volume can be measured.

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