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Volume of Rhombicosidodecahedron given Circumsphere Radius Formula

GoVolume of Rhombicosidodecahedron Formula

GoVolume of Rhombicosidodecahedron given Total Surface Area Formula

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

V = \frac{60 + (29 \cdot \sqrt{5})}{3} \cdot {(\frac{2 \cdot r c}{\sqrt{11 + (4 \cdot \sqrt{5})}})}^{3}

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

Volume of Rhombicosidodecahedron given Circumsphere Radius Example

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

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

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

39800.0876 = \frac{60 + (29 \cdot \sqrt{5})}{3} \cdot {(\frac{2 \cdot 22}{\sqrt{11 + (4 \cdot \sqrt{5})}})}^{3}

39800.0876m³ = \frac{60 + (29 \cdot \sqrt{5})}{3} \cdot {(\frac{2 \cdot 22m}{\sqrt{11 + (4 \cdot \sqrt{5})}})}^{3}

39800.0876 = \frac{60 + (29 \cdot \sqrt{5})}{3} \cdot {(\frac{2 \cdot 22}{\sqrt{11 + (4 \cdot \sqrt{5})}})}^{3}

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Volume of Rhombicosidodecahedron given Circumsphere Radius Solution

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

FIRST Step Consider the formula

V = \frac{60 + (29 \cdot \sqrt{5})}{3} \cdot {(\frac{2 \cdot r c}{\sqrt{11 + (4 \cdot \sqrt{5})}})}^{3}

Next Step Substitute values of Variables

∴

V = \frac{60 + (29 \cdot \sqrt{5})}{3} \cdot {(\frac{2 \cdot 22m}{\sqrt{11 + (4 \cdot \sqrt{5})}})}^{3}

Next Step Prepare to Evaluate

∴

V = \frac{60 + (29 \cdot \sqrt{5})}{3} \cdot {(\frac{2 \cdot 22}{\sqrt{11 + (4 \cdot \sqrt{5})}})}^{3}

Next Step Evaluate

∴

V = 39800.0875749768m³

LAST Step Rounding Answer

∴

V = 39800.0876m³

Volume of Rhombicosidodecahedron given Circumsphere Radius Formula Elements

Variables

Functions

Volume of Rhombicosidodecahedron

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Rhombicosidodecahedron

Circumsphere Radius of Rhombicosidodecahedron

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

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 Rhombicosidodecahedron

Go Volume of Rhombicosidodecahedron

V = \frac{60 + (29 \cdot \sqrt{5})}{3} \cdot {l e}^{3}

Go Volume of Rhombicosidodecahedron given Total Surface Area

V = \frac{60 + (29 \cdot \sqrt{5})}{3} \cdot {(\sqrt{\frac{TSA}{30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})}})}^{3}

Go Volume of Rhombicosidodecahedron given Midsphere Radius

V = \frac{60 + (29 \cdot \sqrt{5})}{3} \cdot {(\frac{2 \cdot r m}{\sqrt{10 + (4 \cdot \sqrt{5})}})}^{3}

Go Volume of Rhombicosidodecahedron given Surface to Volume Ratio

V = \frac{60 + (29 \cdot \sqrt{5})}{3} \cdot {(\frac{3 \cdot (30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{R A/V \cdot (60 + (29 \cdot \sqrt{5}))})}^{3}

How to Evaluate Volume of Rhombicosidodecahedron given Circumsphere Radius?

Volume of Rhombicosidodecahedron given Circumsphere Radius evaluator uses Volume of Rhombicosidodecahedron = (60+(29*sqrt(5)))/3*((2*Circumsphere Radius of Rhombicosidodecahedron)/(sqrt(11+(4*sqrt(5)))))^3 to evaluate the Volume of Rhombicosidodecahedron, Volume of Rhombicosidodecahedron given Circumsphere Radius formula is defined as the total quantity of three dimensional space enclosed by the surface of the Rhombicosidodecahedron, and calculated using the circumsphere radius of the Rhombicosidodecahedron. Volume of Rhombicosidodecahedron is denoted by V symbol.

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

FAQs on Volume of Rhombicosidodecahedron given Circumsphere Radius

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

The formula of Volume of Rhombicosidodecahedron given Circumsphere Radius is expressed as Volume of Rhombicosidodecahedron = (60+(29*sqrt(5)))/3*((2*Circumsphere Radius of Rhombicosidodecahedron)/(sqrt(11+(4*sqrt(5)))))^3. Here is an example- 39800.09 = (60+(29*sqrt(5)))/3*((2*22)/(sqrt(11+(4*sqrt(5)))))^3.

How to calculate Volume of Rhombicosidodecahedron given Circumsphere Radius?

With Circumsphere Radius of Rhombicosidodecahedron (r_c) we can find Volume of Rhombicosidodecahedron given Circumsphere Radius using the formula - Volume of Rhombicosidodecahedron = (60+(29*sqrt(5)))/3*((2*Circumsphere Radius of Rhombicosidodecahedron)/(sqrt(11+(4*sqrt(5)))))^3. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Volume of Rhombicosidodecahedron?

Here are the different ways to Calculate Volume of Rhombicosidodecahedron-

Volume of Rhombicosidodecahedron=(60+(29*sqrt(5)))/3*Edge Length of Rhombicosidodecahedron^3
Volume of Rhombicosidodecahedron=(60+(29*sqrt(5)))/3*(sqrt(Total Surface Area of Rhombicosidodecahedron/(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))))^3
Volume of Rhombicosidodecahedron=(60+(29*sqrt(5)))/3*((2*Midsphere Radius of Rhombicosidodecahedron)/(sqrt(10+(4*sqrt(5)))))^3

Can the Volume of Rhombicosidodecahedron given Circumsphere Radius be negative?

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

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

Volume of Rhombicosidodecahedron 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 Rhombicosidodecahedron given Circumsphere Radius can be measured.

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