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Volume of Truncated Icosidodecahedron given Circumsphere Radius Formula

GoVolume of Truncated Icosidodecahedron Formula

GoVolume of Truncated Icosidodecahedron given Total Surface Area Formula

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

V = 5 \cdot {(\frac{2 \cdot r c}{\sqrt{31 + (12 \cdot \sqrt{5})}})}^{3} \cdot (19 + (10 \cdot \sqrt{5}))

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

Volume of Truncated Icosidodecahedron given Circumsphere Radius Example

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

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

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

206412.951 = 5 \cdot {(\frac{2 \cdot 38}{\sqrt{31 + (12 \cdot \sqrt{5})}})}^{3} \cdot (19 + (10 \cdot \sqrt{5}))

206412.951m³ = 5 \cdot {(\frac{2 \cdot 38m}{\sqrt{31 + (12 \cdot \sqrt{5})}})}^{3} \cdot (19 + (10 \cdot \sqrt{5}))

206412.951 = 5 \cdot {(\frac{2 \cdot 38}{\sqrt{31 + (12 \cdot \sqrt{5})}})}^{3} \cdot (19 + (10 \cdot \sqrt{5}))

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3D Geometry » fx Volume of Truncated Icosidodecahedron given Circumsphere Radius

Volume of Truncated Icosidodecahedron given Circumsphere Radius Solution

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

FIRST Step Consider the formula

V = 5 \cdot {(\frac{2 \cdot r c}{\sqrt{31 + (12 \cdot \sqrt{5})}})}^{3} \cdot (19 + (10 \cdot \sqrt{5}))

Next Step Substitute values of Variables

∴

V = 5 \cdot {(\frac{2 \cdot 38m}{\sqrt{31 + (12 \cdot \sqrt{5})}})}^{3} \cdot (19 + (10 \cdot \sqrt{5}))

Next Step Prepare to Evaluate

∴

V = 5 \cdot {(\frac{2 \cdot 38}{\sqrt{31 + (12 \cdot \sqrt{5})}})}^{3} \cdot (19 + (10 \cdot \sqrt{5}))

Next Step Evaluate

∴

V = 206412.951012822m³

LAST Step Rounding Answer

∴

V = 206412.951m³

Volume of Truncated Icosidodecahedron given Circumsphere Radius Formula Elements

Variables

Functions

Volume of Truncated Icosidodecahedron

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Truncated Icosidodecahedron

Circumsphere Radius of Truncated Icosidodecahedron

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

Go Volume of Truncated Icosidodecahedron

V = 5 \cdot {l e}^{3} \cdot (19 + (10 \cdot \sqrt{5}))

Go Volume of Truncated Icosidodecahedron given Total Surface Area

V = 5 \cdot ({\sqrt{\frac{TSA}{30 \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})}}}^{3}) \cdot (19 + (10 \cdot \sqrt{5}))

Go Volume of Truncated Icosidodecahedron given Midsphere Radius

V = 5 \cdot {(\frac{2 \cdot r m}{\sqrt{30 + (12 \cdot \sqrt{5})}})}^{3} \cdot (19 + (10 \cdot \sqrt{5}))

Go Volume of Truncated Icosidodecahedron given Surface to Volume Ratio

V = 5 \cdot {(\frac{6 \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})}{R A/V \cdot (19 + (10 \cdot \sqrt{5}))})}^{3} \cdot (19 + (10 \cdot \sqrt{5}))

How to Evaluate Volume of Truncated Icosidodecahedron given Circumsphere Radius?

Volume of Truncated Icosidodecahedron given Circumsphere Radius evaluator uses Volume of Truncated Icosidodecahedron = 5*((2*Circumsphere Radius of Truncated Icosidodecahedron)/(sqrt(31+(12*sqrt(5)))))^3*(19+(10*sqrt(5))) to evaluate the Volume of Truncated Icosidodecahedron, Volume of Truncated Icosidodecahedron given Circumsphere Radius formula is defined as the total quantity of three dimensional space enclosed by the surface of the Truncated Icosidodecahedron, and calculated using the circumsphere radius of the Truncated Icosidodecahedron. Volume of Truncated Icosidodecahedron is denoted by V symbol.

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

FAQs on Volume of Truncated Icosidodecahedron given Circumsphere Radius

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

The formula of Volume of Truncated Icosidodecahedron given Circumsphere Radius is expressed as Volume of Truncated Icosidodecahedron = 5*((2*Circumsphere Radius of Truncated Icosidodecahedron)/(sqrt(31+(12*sqrt(5)))))^3*(19+(10*sqrt(5))). Here is an example- 206413 = 5*((2*38)/(sqrt(31+(12*sqrt(5)))))^3*(19+(10*sqrt(5))).

How to calculate Volume of Truncated Icosidodecahedron given Circumsphere Radius?

With Circumsphere Radius of Truncated Icosidodecahedron (r_c) we can find Volume of Truncated Icosidodecahedron given Circumsphere Radius using the formula - Volume of Truncated Icosidodecahedron = 5*((2*Circumsphere Radius of Truncated Icosidodecahedron)/(sqrt(31+(12*sqrt(5)))))^3*(19+(10*sqrt(5))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Volume of Truncated Icosidodecahedron?

Here are the different ways to Calculate Volume of Truncated Icosidodecahedron-

Volume of Truncated Icosidodecahedron=5*Edge Length of Truncated Icosidodecahedron^3*(19+(10*sqrt(5)))
Volume of Truncated Icosidodecahedron=5*(sqrt(Total Surface Area of Truncated Icosidodecahedron/(30*(1+sqrt(3)+sqrt(5+(2*sqrt(5))))))^3)*(19+(10*sqrt(5)))
Volume of Truncated Icosidodecahedron=5*((2*Midsphere Radius of Truncated Icosidodecahedron)/(sqrt(30+(12*sqrt(5)))))^3*(19+(10*sqrt(5)))

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

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

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

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

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