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Circumsphere Radius of Icosahedron given Volume Formula

GoCircumsphere Radius of Icosahedron Formula

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

r c = \frac{\sqrt{10 + (2 \cdot \sqrt{5})}}{4} \cdot {(\frac{12 \cdot V}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}}

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

Circumsphere Radius of Icosahedron given Volume Example

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

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

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

9.5371 = \frac{\sqrt{10 + (2 \cdot \sqrt{5})}}{4} \cdot {(\frac{12 \cdot 2200}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}}

9.5371m = \frac{\sqrt{10 + (2 \cdot \sqrt{5})}}{4} \cdot {(\frac{12 \cdot 2200m³}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}}

9.5371 = \frac{\sqrt{10 + (2 \cdot \sqrt{5})}}{4} \cdot {(\frac{12 \cdot 2200}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}}

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Circumsphere Radius of Icosahedron given Volume Solution

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

FIRST Step Consider the formula

r c = \frac{\sqrt{10 + (2 \cdot \sqrt{5})}}{4} \cdot {(\frac{12 \cdot V}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

r c = \frac{\sqrt{10 + (2 \cdot \sqrt{5})}}{4} \cdot {(\frac{12 \cdot 2200m³}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

r c = \frac{\sqrt{10 + (2 \cdot \sqrt{5})}}{4} \cdot {(\frac{12 \cdot 2200}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}}

Next Step Evaluate

∴

r c = 9.5370898531606m

LAST Step Rounding Answer

∴

r c = 9.5371m

Circumsphere Radius of Icosahedron given Volume Formula Elements

Variables

Functions

Circumsphere Radius of Icosahedron

Circumsphere Radius of Icosahedron is the radius of the sphere that contains the Icosahedron 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 Icosahedron

Volume of Icosahedron

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of 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 Icosahedron

Go Circumsphere Radius of Icosahedron

r c = \frac{\sqrt{10 + (2 \cdot \sqrt{5})}}{4} \cdot l e

Other formulas in Circumsphere Radius of Icosahedron category

Go Insphere Radius of Icosahedron

r i = \frac{\sqrt{3} \cdot (3 + \sqrt{5})}{12} \cdot l e

Go Insphere Radius of Icosahedron given Total Surface Area

r i = \frac{\sqrt{3} \cdot (3 + \sqrt{5})}{12} \cdot \sqrt{\frac{TSA}{5 \cdot \sqrt{3}}}

Go Midsphere Radius of Icosahedron

r m = \frac{1 + \sqrt{5}}{4} \cdot l e

Go Midsphere Radius of Icosahedron given Space Diagonal

r m = \frac{1 + \sqrt{5}}{2} \cdot \frac{d Space}{\sqrt{10 + (2 \cdot \sqrt{5})}}

How to Evaluate Circumsphere Radius of Icosahedron given Volume?

Circumsphere Radius of Icosahedron given Volume evaluator uses Circumsphere Radius of Icosahedron = sqrt(10+(2*sqrt(5)))/4*((12*Volume of Icosahedron)/(5*(3+sqrt(5))))^(1/3) to evaluate the Circumsphere Radius of Icosahedron, The Circumsphere Radius of Icosahedron given Volume formula is defined as the radius of the sphere that contains the Icosahedron in such a way that all the vertices are lying on the sphere and is calculated using the volume of the Icosahedron. Circumsphere Radius of Icosahedron is denoted by r_c symbol.

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

FAQs on Circumsphere Radius of Icosahedron given Volume

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

The formula of Circumsphere Radius of Icosahedron given Volume is expressed as Circumsphere Radius of Icosahedron = sqrt(10+(2*sqrt(5)))/4*((12*Volume of Icosahedron)/(5*(3+sqrt(5))))^(1/3). Here is an example- 9.53709 = sqrt(10+(2*sqrt(5)))/4*((12*2200)/(5*(3+sqrt(5))))^(1/3).

How to calculate Circumsphere Radius of Icosahedron given Volume?

With Volume of Icosahedron (V) we can find Circumsphere Radius of Icosahedron given Volume using the formula - Circumsphere Radius of Icosahedron = sqrt(10+(2*sqrt(5)))/4*((12*Volume of Icosahedron)/(5*(3+sqrt(5))))^(1/3). This formula also uses Square Root (sqrt) function(s).

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

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

Circumsphere Radius of Icosahedron=sqrt(10+(2*sqrt(5)))/4*Edge Length of Icosahedron

Can the Circumsphere Radius of Icosahedron given Volume be negative?

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

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

Circumsphere Radius of 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 Icosahedron given Volume can be measured.

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