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Circumsphere Radius of Icosidodecahedron given Volume Formula

GoCircumsphere Radius of Icosidodecahedron Formula

GoCircumsphere Radius of Icosidodecahedron given Total Surface Area Formula

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

r c = \frac{1 + \sqrt{5}}{2} \cdot {(\frac{6 \cdot V}{45 + (17 \cdot \sqrt{5})})}^{\frac{1}{3}}

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

Circumsphere Radius of Icosidodecahedron given Volume Example

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

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

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

16.2442 = \frac{1 + \sqrt{5}}{2} \cdot {(\frac{6 \cdot 14000}{45 + (17 \cdot \sqrt{5})})}^{\frac{1}{3}}

16.2442m = \frac{1 + \sqrt{5}}{2} \cdot {(\frac{6 \cdot 14000m³}{45 + (17 \cdot \sqrt{5})})}^{\frac{1}{3}}

16.2442 = \frac{1 + \sqrt{5}}{2} \cdot {(\frac{6 \cdot 14000}{45 + (17 \cdot \sqrt{5})})}^{\frac{1}{3}}

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Circumsphere Radius of Icosidodecahedron given Volume Solution

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

FIRST Step Consider the formula

r c = \frac{1 + \sqrt{5}}{2} \cdot {(\frac{6 \cdot V}{45 + (17 \cdot \sqrt{5})})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

r c = \frac{1 + \sqrt{5}}{2} \cdot {(\frac{6 \cdot 14000m³}{45 + (17 \cdot \sqrt{5})})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

r c = \frac{1 + \sqrt{5}}{2} \cdot {(\frac{6 \cdot 14000}{45 + (17 \cdot \sqrt{5})})}^{\frac{1}{3}}

Next Step Evaluate

∴

r c = 16.2442037382901m

LAST Step Rounding Answer

∴

r c = 16.2442m

Circumsphere Radius of Icosidodecahedron given Volume Formula Elements

Variables

Functions

Circumsphere Radius of Icosidodecahedron

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

Volume of Icosidodecahedron

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Icosidodecahedron

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 Icosidodecahedron

Go Circumsphere Radius of Icosidodecahedron

r c = \frac{1 + \sqrt{5}}{2} \cdot l e

Go Circumsphere Radius of Icosidodecahedron given Total Surface Area

r c = \frac{1 + \sqrt{5}}{2} \cdot \sqrt{\frac{TSA}{(5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})}}

Go Circumsphere Radius of Icosidodecahedron given Midsphere Radius

r c = \frac{1 + \sqrt{5}}{\sqrt{5 + (2 \cdot \sqrt{5})}} \cdot r m

Go Circumsphere Radius of Icosidodecahedron given Surface to Volume Ratio

r c = (1 + \sqrt{5}) \cdot \frac{3 \cdot ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{R A/V \cdot (45 + (17 \cdot \sqrt{5}))}

How to Evaluate Circumsphere Radius of Icosidodecahedron given Volume?

Circumsphere Radius of Icosidodecahedron given Volume evaluator uses Circumsphere Radius of Icosidodecahedron = (1+sqrt(5))/2*((6*Volume of Icosidodecahedron)/(45+(17*sqrt(5))))^(1/3) to evaluate the Circumsphere Radius of Icosidodecahedron, Circumsphere Radius of Icosidodecahedron given Volume formula is defined as the radius of the sphere that contains the Icosidodecahedron in such a way that all the vertices are lying on the sphere, and calculated using the volume of the Icosidodecahedron. Circumsphere Radius of Icosidodecahedron is denoted by r_c symbol.

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

FAQs on Circumsphere Radius of Icosidodecahedron given Volume

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

The formula of Circumsphere Radius of Icosidodecahedron given Volume is expressed as Circumsphere Radius of Icosidodecahedron = (1+sqrt(5))/2*((6*Volume of Icosidodecahedron)/(45+(17*sqrt(5))))^(1/3). Here is an example- 16.2442 = (1+sqrt(5))/2*((6*14000)/(45+(17*sqrt(5))))^(1/3).

How to calculate Circumsphere Radius of Icosidodecahedron given Volume?

With Volume of Icosidodecahedron (V) we can find Circumsphere Radius of Icosidodecahedron given Volume using the formula - Circumsphere Radius of Icosidodecahedron = (1+sqrt(5))/2*((6*Volume of Icosidodecahedron)/(45+(17*sqrt(5))))^(1/3). This formula also uses Square Root (sqrt) function(s).

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

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

Circumsphere Radius of Icosidodecahedron=(1+sqrt(5))/2*Edge Length of Icosidodecahedron
Circumsphere Radius of Icosidodecahedron=(1+sqrt(5))/2*sqrt(Total Surface Area of Icosidodecahedron/((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))
Circumsphere Radius of Icosidodecahedron=(1+sqrt(5))/(sqrt(5+(2*sqrt(5))))*Midsphere Radius of Icosidodecahedron

Can the Circumsphere Radius of Icosidodecahedron given Volume be negative?

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

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

Circumsphere Radius of Icosidodecahedron 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 Icosidodecahedron given Volume can be measured.

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