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Circumsphere Radius of Great Icosahedron given Volume Formula

GoCircumsphere Radius of Great Icosahedron Formula

GoCircumsphere Radius of Great Icosahedron given Mid Ridge Length Formula

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

r c = \frac{\sqrt{50 + (22 \cdot \sqrt{5})}}{4} \cdot {(\frac{4 \cdot V}{25 + (9 \cdot \sqrt{5})})}^{\frac{1}{3}}

r_c - Circumsphere Radius of Great Icosahedron?V - Volume of Great Icosahedron?

Circumsphere Radius of Great Icosahedron given Volume Example

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

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

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

24.6904 = \frac{\sqrt{50 + (22 \cdot \sqrt{5})}}{4} \cdot {(\frac{4 \cdot 11000}{25 + (9 \cdot \sqrt{5})})}^{\frac{1}{3}}

24.6904m = \frac{\sqrt{50 + (22 \cdot \sqrt{5})}}{4} \cdot {(\frac{4 \cdot 11000m³}{25 + (9 \cdot \sqrt{5})})}^{\frac{1}{3}}

24.6904 = \frac{\sqrt{50 + (22 \cdot \sqrt{5})}}{4} \cdot {(\frac{4 \cdot 11000}{25 + (9 \cdot \sqrt{5})})}^{\frac{1}{3}}

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Circumsphere Radius of Great Icosahedron given Volume Solution

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

FIRST Step Consider the formula

r c = \frac{\sqrt{50 + (22 \cdot \sqrt{5})}}{4} \cdot {(\frac{4 \cdot V}{25 + (9 \cdot \sqrt{5})})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

r c = \frac{\sqrt{50 + (22 \cdot \sqrt{5})}}{4} \cdot {(\frac{4 \cdot 11000m³}{25 + (9 \cdot \sqrt{5})})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

r c = \frac{\sqrt{50 + (22 \cdot \sqrt{5})}}{4} \cdot {(\frac{4 \cdot 11000}{25 + (9 \cdot \sqrt{5})})}^{\frac{1}{3}}

Next Step Evaluate

∴

r c = 24.6903931471964m

LAST Step Rounding Answer

∴

r c = 24.6904m

Circumsphere Radius of Great Icosahedron given Volume Formula Elements

Variables

Functions

Circumsphere Radius of Great Icosahedron

Circumsphere Radius of Great Icosahedron is the radius of the sphere that contains the Great Icosahedron in such a way that all the peak 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 Great Icosahedron

Volume of Great Icosahedron

Volume of Great Icosahedron is the total quantity of three dimensional space enclosed by the surface of the Great Icosahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Great Icosahedron

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 Great Icosahedron

Go Circumsphere Radius of Great Icosahedron

r c = \frac{\sqrt{50 + (22 \cdot \sqrt{5})}}{4} \cdot l e

Go Circumsphere Radius of Great Icosahedron given Mid Ridge Length

r c = \frac{\sqrt{50 + (22 \cdot \sqrt{5})}}{4} \cdot \frac{2 \cdot l Ridge(Mid)}{1 + \sqrt{5}}

Go Circumsphere Radius of Great Icosahedron given Long Ridge Length

r c = \frac{\sqrt{50 + (22 \cdot \sqrt{5})}}{4} \cdot \frac{10 \cdot l Ridge(Long)}{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}

Go Circumsphere Radius of Great Icosahedron given Short Ridge Length

r c = \frac{\sqrt{50 + (22 \cdot \sqrt{5})}}{4} \cdot \frac{5 \cdot l Ridge(Short)}{\sqrt{10}}

How to Evaluate Circumsphere Radius of Great Icosahedron given Volume?

Circumsphere Radius of Great Icosahedron given Volume evaluator uses Circumsphere Radius of Great Icosahedron = sqrt(50+(22*sqrt(5)))/4*((4*Volume of Great Icosahedron)/(25+(9*sqrt(5))))^(1/3) to evaluate the Circumsphere Radius of Great Icosahedron, Circumsphere Radius of Great Icosahedron given Volume formula is defined as the radius of the sphere that contains the Great Icosahedron in such a way that all the vertices are lying on the sphere, calculated using volume. Circumsphere Radius of Great Icosahedron is denoted by r_c symbol.

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

FAQs on Circumsphere Radius of Great Icosahedron given Volume

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

The formula of Circumsphere Radius of Great Icosahedron given Volume is expressed as Circumsphere Radius of Great Icosahedron = sqrt(50+(22*sqrt(5)))/4*((4*Volume of Great Icosahedron)/(25+(9*sqrt(5))))^(1/3). Here is an example- 24.69039 = sqrt(50+(22*sqrt(5)))/4*((4*11000)/(25+(9*sqrt(5))))^(1/3).

How to calculate Circumsphere Radius of Great Icosahedron given Volume?

With Volume of Great Icosahedron (V) we can find Circumsphere Radius of Great Icosahedron given Volume using the formula - Circumsphere Radius of Great Icosahedron = sqrt(50+(22*sqrt(5)))/4*((4*Volume of Great Icosahedron)/(25+(9*sqrt(5))))^(1/3). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Circumsphere Radius of Great Icosahedron?

Here are the different ways to Calculate Circumsphere Radius of Great Icosahedron-

Circumsphere Radius of Great Icosahedron=sqrt(50+(22*sqrt(5)))/4*Edge Length of Great Icosahedron
Circumsphere Radius of Great Icosahedron=sqrt(50+(22*sqrt(5)))/4*(2*Mid Ridge Length of Great Icosahedron)/(1+sqrt(5))
Circumsphere Radius of Great Icosahedron=sqrt(50+(22*sqrt(5)))/4*(10*Long Ridge Length of Great Icosahedron)/(sqrt(2)*(5+(3*sqrt(5))))

Can the Circumsphere Radius of Great Icosahedron given Volume be negative?

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

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

Circumsphere Radius of Great Icosahedron 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 Great Icosahedron given Volume can be measured.

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