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Volume of Truncated Rhombohedron given Circumsphere Radius Formula

GoVolume of Truncated Rhombohedron given Rhombohedral Edge Length Formula

GoVolume of Truncated Rhombohedron Formula

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

V = ((\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2})) \cdot ({(\frac{4 \cdot r c}{\sqrt{14 - (2 \cdot \sqrt{5})}})}^{3})

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

Volume of Truncated Rhombohedron given Circumsphere Radius Example

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

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

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

14097.5591 = ((\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2})) \cdot ({(\frac{4 \cdot 20}{\sqrt{14 - (2 \cdot \sqrt{5})}})}^{3})

14097.5591m³ = ((\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2})) \cdot ({(\frac{4 \cdot 20m}{\sqrt{14 - (2 \cdot \sqrt{5})}})}^{3})

14097.5591 = ((\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2})) \cdot ({(\frac{4 \cdot 20}{\sqrt{14 - (2 \cdot \sqrt{5})}})}^{3})

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

Volume of Truncated Rhombohedron given Circumsphere Radius Solution

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

FIRST Step Consider the formula

V = ((\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2})) \cdot ({(\frac{4 \cdot r c}{\sqrt{14 - (2 \cdot \sqrt{5})}})}^{3})

Next Step Substitute values of Variables

∴

V = ((\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2})) \cdot ({(\frac{4 \cdot 20m}{\sqrt{14 - (2 \cdot \sqrt{5})}})}^{3})

Next Step Prepare to Evaluate

∴

V = ((\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2})) \cdot ({(\frac{4 \cdot 20}{\sqrt{14 - (2 \cdot \sqrt{5})}})}^{3})

Next Step Evaluate

∴

V = 14097.559069847m³

LAST Step Rounding Answer

∴

V = 14097.5591m³

Volume of Truncated Rhombohedron given Circumsphere Radius Formula Elements

Variables

Functions

Volume of Truncated Rhombohedron

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Truncated Rhombohedron

Circumsphere Radius of Truncated Rhombohedron

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

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 Rhombohedron

Go Volume of Truncated Rhombohedron given Rhombohedral Edge Length

V = ((\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2})) \cdot ({l e(Rhombohedron)}^{3})

Go Volume of Truncated Rhombohedron

V = ((\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2})) \cdot ({(\frac{2 \cdot l e}{3 - \sqrt{5}})}^{3})

Go Volume of Truncated Rhombohedron given Triangular Edge Length

V = ((\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2})) \cdot ({(\frac{l e(Triangle)}{\sqrt{5 - (2 \cdot \sqrt{5})}})}^{3})

Go Volume of Truncated Rhombohedron given Total Surface Area

V = ((\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2})) \cdot ({(\frac{2 \cdot TSA}{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})})}^{\frac{3}{2}})

How to Evaluate Volume of Truncated Rhombohedron given Circumsphere Radius?

Volume of Truncated Rhombohedron given Circumsphere Radius evaluator uses Volume of Truncated Rhombohedron = ((5/3)*(sqrt(sqrt(5)-2)))*(((4*Circumsphere Radius of Truncated Rhombohedron)/(sqrt(14-(2*sqrt(5)))))^3) to evaluate the Volume of Truncated Rhombohedron, Volume of Truncated Rhombohedron given Circumsphere Radius formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Truncated Rhombohedron, calculated using its circumsphere radius. Volume of Truncated Rhombohedron is denoted by V symbol.

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

FAQs on Volume of Truncated Rhombohedron given Circumsphere Radius

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

The formula of Volume of Truncated Rhombohedron given Circumsphere Radius is expressed as Volume of Truncated Rhombohedron = ((5/3)*(sqrt(sqrt(5)-2)))*(((4*Circumsphere Radius of Truncated Rhombohedron)/(sqrt(14-(2*sqrt(5)))))^3). Here is an example- 14097.56 = ((5/3)*(sqrt(sqrt(5)-2)))*(((4*20)/(sqrt(14-(2*sqrt(5)))))^3).

How to calculate Volume of Truncated Rhombohedron given Circumsphere Radius?

With Circumsphere Radius of Truncated Rhombohedron (r_c) we can find Volume of Truncated Rhombohedron given Circumsphere Radius using the formula - Volume of Truncated Rhombohedron = ((5/3)*(sqrt(sqrt(5)-2)))*(((4*Circumsphere Radius of Truncated Rhombohedron)/(sqrt(14-(2*sqrt(5)))))^3). This formula also uses Square Root (sqrt) function(s).

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

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

Volume of Truncated Rhombohedron=((5/3)*(sqrt(sqrt(5)-2)))*(Rhombohedral Edge Length of Truncated Rhombohedron^3)
Volume of Truncated Rhombohedron=((5/3)*(sqrt(sqrt(5)-2)))*(((2*Edge Length of Truncated Rhombohedron)/(3-sqrt(5)))^3)
Volume of Truncated Rhombohedron=((5/3)*(sqrt(sqrt(5)-2)))*((Triangular Edge Length of Truncated Rhombohedron/(sqrt(5-(2*sqrt(5)))))^3)

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

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

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

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

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