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Volume of Great Icosahedron given Circumsphere Radius Formula

GoVolume of Great Icosahedron Formula

GoVolume of Great Icosahedron given Mid Ridge Length Formula

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

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

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

Volume of Great Icosahedron given Circumsphere Radius Example

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

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

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

11419.0164 = \frac{25 + (9 \cdot \sqrt{5})}{4} \cdot {(\frac{4 \cdot 25}{\sqrt{50 + (22 \cdot \sqrt{5})}})}^{3}

11419.0164m³ = \frac{25 + (9 \cdot \sqrt{5})}{4} \cdot {(\frac{4 \cdot 25m}{\sqrt{50 + (22 \cdot \sqrt{5})}})}^{3}

11419.0164 = \frac{25 + (9 \cdot \sqrt{5})}{4} \cdot {(\frac{4 \cdot 25}{\sqrt{50 + (22 \cdot \sqrt{5})}})}^{3}

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Volume of Great Icosahedron given Circumsphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

V = 11419.0163632196m³

LAST Step Rounding Answer

∴

V = 11419.0164m³

Volume of Great Icosahedron given Circumsphere Radius Formula Elements

Variables

Functions

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

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

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 Volume of Great Icosahedron

Go Volume of Great Icosahedron

V = \frac{25 + (9 \cdot \sqrt{5})}{4} \cdot {l e}^{3}

Go Volume of Great Icosahedron given Mid Ridge Length

V = \frac{25 + (9 \cdot \sqrt{5})}{4} \cdot {(\frac{2 \cdot l Ridge(Mid)}{1 + \sqrt{5}})}^{3}

Go Volume of Great Icosahedron given Long Ridge Length

V = \frac{25 + (9 \cdot \sqrt{5})}{4} \cdot {(\frac{10 \cdot l Ridge(Long)}{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))})}^{3}

Go Volume of Great Icosahedron given Short Ridge Length

V = \frac{25 + (9 \cdot \sqrt{5})}{4} \cdot {(\frac{5 \cdot l Ridge(Short)}{\sqrt{10}})}^{3}

How to Evaluate Volume of Great Icosahedron given Circumsphere Radius?

Volume of Great Icosahedron given Circumsphere Radius evaluator uses Volume of Great Icosahedron = (25+(9*sqrt(5)))/4*((4*Circumsphere Radius of Great Icosahedron)/sqrt(50+(22*sqrt(5))))^3 to evaluate the Volume of Great Icosahedron, Volume of Great Icosahedron given Circumsphere Radius formula is defined as the total quantity of three dimensional space enclosed by the surface of the Great Icosahedron, calculated using circumsphere radius. Volume of Great Icosahedron is denoted by V symbol.

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

FAQs on Volume of Great Icosahedron given Circumsphere Radius

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

The formula of Volume of Great Icosahedron given Circumsphere Radius is expressed as Volume of Great Icosahedron = (25+(9*sqrt(5)))/4*((4*Circumsphere Radius of Great Icosahedron)/sqrt(50+(22*sqrt(5))))^3. Here is an example- 11419.02 = (25+(9*sqrt(5)))/4*((4*25)/sqrt(50+(22*sqrt(5))))^3.

How to calculate Volume of Great Icosahedron given Circumsphere Radius?

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

What are the other ways to Calculate Volume of Great Icosahedron?

Here are the different ways to Calculate Volume of Great Icosahedron-

Volume of Great Icosahedron=(25+(9*sqrt(5)))/4*Edge Length of Great Icosahedron^3
Volume of Great Icosahedron=(25+(9*sqrt(5)))/4*((2*Mid Ridge Length of Great Icosahedron)/(1+sqrt(5)))^3
Volume of Great Icosahedron=(25+(9*sqrt(5)))/4*((10*Long Ridge Length of Great Icosahedron)/(sqrt(2)*(5+(3*sqrt(5)))))^3

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

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

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

Volume of Great Icosahedron given Circumsphere Radius is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Volume of Great Icosahedron given Circumsphere Radius can be measured.

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