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Circumsphere Radius of Snub Cube given Volume Formula

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

r c = \sqrt{\frac{3 - [Tribonacci_C]}{4 \cdot (2 - [Tribonacci_C])}} \cdot {(\frac{3 \cdot \sqrt{2 - [Tribonacci_C]} \cdot V}{(3 \cdot \sqrt{[Tribonacci_C] - 1}) + (4 \cdot \sqrt{[Tribonacci_C] + 1})})}^{\frac{1}{3}}

r_c - Circumsphere Radius of Snub Cube?V - Volume of Snub Cube?[Tribonacci_C] - Tribonacci constant?[Tribonacci_C] - Tribonacci constant?[Tribonacci_C] - Tribonacci constant?[Tribonacci_C] - Tribonacci constant?[Tribonacci_C] - Tribonacci constant?

Circumsphere Radius of Snub Cube given Volume Example

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

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

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

13.4431 = \sqrt{\frac{3 - 1.8393}{4 \cdot (2 - 1.8393)}} \cdot {(\frac{3 \cdot \sqrt{2 - 1.8393} \cdot 7900}{(3 \cdot \sqrt{1.8393 - 1}) + (4 \cdot \sqrt{1.8393 + 1})})}^{\frac{1}{3}}

13.4431m = \sqrt{\frac{3 - 1.8393}{4 \cdot (2 - 1.8393)}} \cdot {(\frac{3 \cdot \sqrt{2 - 1.8393} \cdot 7900m³}{(3 \cdot \sqrt{1.8393 - 1}) + (4 \cdot \sqrt{1.8393 + 1})})}^{\frac{1}{3}}

13.4431 = \sqrt{\frac{3 - 1.8393}{4 \cdot (2 - 1.8393)}} \cdot {(\frac{3 \cdot \sqrt{2 - 1.8393} \cdot 7900}{(3 \cdot \sqrt{1.8393 - 1}) + (4 \cdot \sqrt{1.8393 + 1})})}^{\frac{1}{3}}

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Circumsphere Radius of Snub Cube given Volume Solution

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

FIRST Step Consider the formula

r c = \sqrt{\frac{3 - [Tribonacci_C]}{4 \cdot (2 - [Tribonacci_C])}} \cdot {(\frac{3 \cdot \sqrt{2 - [Tribonacci_C]} \cdot V}{(3 \cdot \sqrt{[Tribonacci_C] - 1}) + (4 \cdot \sqrt{[Tribonacci_C] + 1})})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

r c = \sqrt{\frac{3 - [Tribonacci_C]}{4 \cdot (2 - [Tribonacci_C])}} \cdot {(\frac{3 \cdot \sqrt{2 - [Tribonacci_C]} \cdot 7900m³}{(3 \cdot \sqrt{[Tribonacci_C] - 1}) + (4 \cdot \sqrt{[Tribonacci_C] + 1})})}^{\frac{1}{3}}

Next Step Substitute values of Constants

∴

r c = \sqrt{\frac{3 - 1.8393}{4 \cdot (2 - 1.8393)}} \cdot {(\frac{3 \cdot \sqrt{2 - 1.8393} \cdot 7900m³}{(3 \cdot \sqrt{1.8393 - 1}) + (4 \cdot \sqrt{1.8393 + 1})})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

r c = \sqrt{\frac{3 - 1.8393}{4 \cdot (2 - 1.8393)}} \cdot {(\frac{3 \cdot \sqrt{2 - 1.8393} \cdot 7900}{(3 \cdot \sqrt{1.8393 - 1}) + (4 \cdot \sqrt{1.8393 + 1})})}^{\frac{1}{3}}

Next Step Evaluate

∴

r c = 13.4431050146245m

LAST Step Rounding Answer

∴

r c = 13.4431m

Circumsphere Radius of Snub Cube given Volume Formula Elements

Variables

Constants

Functions

Circumsphere Radius of Snub Cube

Circumsphere Radius of Snub Cube is the radius of the sphere that contains the Snub Cube 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 Snub Cube

Volume of Snub Cube

Volume of Snub Cube is the total quantity of three dimensional space enclosed by the surface of the Snub Cube.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Snub Cube

Tribonacci constant