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Circumsphere Radius of Truncated Icosahedron given Volume Formula

GoCircumsphere Radius of Truncated Icosahedron Formula

GoCircumsphere Radius of Truncated Icosahedron given Icosahedral Edge Length Formula

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

r c = \frac{\sqrt{58 + (18 \cdot \sqrt{5})}}{4} \cdot {(\frac{4 \cdot V}{125 + (43 \cdot \sqrt{5})})}^{\frac{1}{3}}

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

Circumsphere Radius of Truncated Icosahedron given Volume Example

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

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

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

24.7371 = \frac{\sqrt{58 + (18 \cdot \sqrt{5})}}{4} \cdot {(\frac{4 \cdot 55000}{125 + (43 \cdot \sqrt{5})})}^{\frac{1}{3}}

24.7371m = \frac{\sqrt{58 + (18 \cdot \sqrt{5})}}{4} \cdot {(\frac{4 \cdot 55000m³}{125 + (43 \cdot \sqrt{5})})}^{\frac{1}{3}}

24.7371 = \frac{\sqrt{58 + (18 \cdot \sqrt{5})}}{4} \cdot {(\frac{4 \cdot 55000}{125 + (43 \cdot \sqrt{5})})}^{\frac{1}{3}}

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Circumsphere Radius of Truncated Icosahedron given Volume Solution

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

FIRST Step Consider the formula

r c = \frac{\sqrt{58 + (18 \cdot \sqrt{5})}}{4} \cdot {(\frac{4 \cdot V}{125 + (43 \cdot \sqrt{5})})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

r c = \frac{\sqrt{58 + (18 \cdot \sqrt{5})}}{4} \cdot {(\frac{4 \cdot 55000m³}{125 + (43 \cdot \sqrt{5})})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

r c = \frac{\sqrt{58 + (18 \cdot \sqrt{5})}}{4} \cdot {(\frac{4 \cdot 55000}{125 + (43 \cdot \sqrt{5})})}^{\frac{1}{3}}

Next Step Evaluate

∴

r c = 24.7371244353565m

LAST Step Rounding Answer

∴

r c = 24.7371m

Circumsphere Radius of Truncated Icosahedron given Volume Formula Elements

Variables

Functions

Circumsphere Radius of Truncated Icosahedron

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

Volume of Truncated Icosahedron

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Truncated 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 Truncated Icosahedron

Go Circumsphere Radius of Truncated Icosahedron

r c = \frac{\sqrt{58 + (18 \cdot \sqrt{5})}}{4} \cdot l e

Go Circumsphere Radius of Truncated Icosahedron given Icosahedral Edge Length

r c = \frac{\sqrt{58 + (18 \cdot \sqrt{5})}}{12} \cdot l e(Icosahedron)

Go Circumsphere Radius of Truncated Icosahedron given Total Surface Area

r c = \frac{\sqrt{58 + (18 \cdot \sqrt{5})}}{4} \cdot \sqrt{\frac{TSA}{3 \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})}}

Go Circumsphere Radius of Truncated Icosahedron given Midsphere Radius

r c = \sqrt{58 + (18 \cdot \sqrt{5})} \cdot \frac{r m}{3 \cdot (1 + \sqrt{5})}

How to Evaluate Circumsphere Radius of Truncated Icosahedron given Volume?

Circumsphere Radius of Truncated Icosahedron given Volume evaluator uses Circumsphere Radius of Truncated Icosahedron = (sqrt(58+(18*sqrt(5))))/4*((4*Volume of Truncated Icosahedron)/(125+(43*sqrt(5))))^(1/3) to evaluate the Circumsphere Radius of Truncated Icosahedron, Circumsphere Radius of Truncated Icosahedron given Volume formula is defined as the radius of the sphere that contains the Truncated Icosahedron in such a way that all the vertices are lying on the sphere, and calculated using the volume of the Truncated Icosahedron. Circumsphere Radius of Truncated Icosahedron is denoted by r_c symbol.

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

FAQs on Circumsphere Radius of Truncated Icosahedron given Volume

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

The formula of Circumsphere Radius of Truncated Icosahedron given Volume is expressed as Circumsphere Radius of Truncated Icosahedron = (sqrt(58+(18*sqrt(5))))/4*((4*Volume of Truncated Icosahedron)/(125+(43*sqrt(5))))^(1/3). Here is an example- 24.73712 = (sqrt(58+(18*sqrt(5))))/4*((4*55000)/(125+(43*sqrt(5))))^(1/3).

How to calculate Circumsphere Radius of Truncated Icosahedron given Volume?

With Volume of Truncated Icosahedron (V) we can find Circumsphere Radius of Truncated Icosahedron given Volume using the formula - Circumsphere Radius of Truncated Icosahedron = (sqrt(58+(18*sqrt(5))))/4*((4*Volume of Truncated Icosahedron)/(125+(43*sqrt(5))))^(1/3). This formula also uses Square Root (sqrt) function(s).

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

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

Circumsphere Radius of Truncated Icosahedron=(sqrt(58+(18*sqrt(5))))/4*Edge Length of Truncated Icosahedron
Circumsphere Radius of Truncated Icosahedron=(sqrt(58+(18*sqrt(5))))/12*Icosahedral Edge Length of Truncated Icosahedron
Circumsphere Radius of Truncated Icosahedron=(sqrt(58+(18*sqrt(5))))/4*sqrt(Total Surface Area of Truncated Icosahedron/(3*((10*sqrt(3))+sqrt(25+(10*sqrt(5))))))

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

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

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

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

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