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Volume of Tetrahedron given Circumsphere Radius Formula

GoVolume of Tetrahedron Formula

GoVolume of Tetrahedron given Total Surface Area Formula

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

V = \frac{{(2 \cdot \sqrt{\frac{2}{3}} \cdot r c)}^{3}}{6 \cdot \sqrt{2}}

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

Volume of Tetrahedron given Circumsphere Radius Example

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

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

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

110.8513 = \frac{{(2 \cdot \sqrt{\frac{2}{3}} \cdot 6)}^{3}}{6 \cdot \sqrt{2}}

110.8513m³ = \frac{{(2 \cdot \sqrt{\frac{2}{3}} \cdot 6m)}^{3}}{6 \cdot \sqrt{2}}

110.8513 = \frac{{(2 \cdot \sqrt{\frac{2}{3}} \cdot 6)}^{3}}{6 \cdot \sqrt{2}}

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Volume of Tetrahedron given Circumsphere Radius Solution

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

FIRST Step Consider the formula

V = \frac{{(2 \cdot \sqrt{\frac{2}{3}} \cdot r c)}^{3}}{6 \cdot \sqrt{2}}

Next Step Substitute values of Variables

∴

V = \frac{{(2 \cdot \sqrt{\frac{2}{3}} \cdot 6m)}^{3}}{6 \cdot \sqrt{2}}

Next Step Prepare to Evaluate

∴

V = \frac{{(2 \cdot \sqrt{\frac{2}{3}} \cdot 6)}^{3}}{6 \cdot \sqrt{2}}

Next Step Evaluate

∴

V = 110.851251684408m³

LAST Step Rounding Answer

∴

V = 110.8513m³

Volume of Tetrahedron given Circumsphere Radius Formula Elements

Variables

Functions

Volume of Tetrahedron

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Tetrahedron

Circumsphere Radius of Tetrahedron

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

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 Tetrahedron

Go Volume of Tetrahedron

V = \frac{{l e}^{3}}{6 \cdot \sqrt{2}}

Go Volume of Tetrahedron given Total Surface Area

V = \frac{\sqrt{2}}{12} \cdot {(\frac{TSA}{\sqrt{3}})}^{\frac{3}{2}}

Go Volume of Tetrahedron given Surface to Volume Ratio

V = \frac{{(\frac{6 \cdot \sqrt{6}}{R A/V})}^{3}}{6 \cdot \sqrt{2}}

Go Volume of Tetrahedron given Midsphere Radius

V = \frac{{(2 \cdot \sqrt{2} \cdot r m)}^{3}}{6 \cdot \sqrt{2}}

How to Evaluate Volume of Tetrahedron given Circumsphere Radius?

Volume of Tetrahedron given Circumsphere Radius evaluator uses Volume of Tetrahedron = ((2*sqrt(2/3)*Circumsphere Radius of Tetrahedron)^3)/(6*sqrt(2)) to evaluate the Volume of Tetrahedron, The Volume of Tetrahedron given Circumsphere Radius formula is defined as the total quantity of three dimensional space enclosed by the surface of the Tetrahedron, and calculated using the circumsphere radius of the Tetrahedron. Volume of Tetrahedron is denoted by V symbol.

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

FAQs on Volume of Tetrahedron given Circumsphere Radius

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

The formula of Volume of Tetrahedron given Circumsphere Radius is expressed as Volume of Tetrahedron = ((2*sqrt(2/3)*Circumsphere Radius of Tetrahedron)^3)/(6*sqrt(2)). Here is an example- 110.8513 = ((2*sqrt(2/3)*6)^3)/(6*sqrt(2)).

How to calculate Volume of Tetrahedron given Circumsphere Radius?

With Circumsphere Radius of Tetrahedron (r_c) we can find Volume of Tetrahedron given Circumsphere Radius using the formula - Volume of Tetrahedron = ((2*sqrt(2/3)*Circumsphere Radius of Tetrahedron)^3)/(6*sqrt(2)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Volume of Tetrahedron?

Here are the different ways to Calculate Volume of Tetrahedron-

Volume of Tetrahedron=(Edge Length of Tetrahedron^3)/(6*sqrt(2))
Volume of Tetrahedron=sqrt(2)/12*(Total Surface Area of Tetrahedron/sqrt(3))^(3/2)
Volume of Tetrahedron=(((6*sqrt(6))/Surface to Volume Ratio of Tetrahedron)^3)/(6*sqrt(2))

Can the Volume of Tetrahedron given Circumsphere Radius be negative?

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

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

Volume of Tetrahedron 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 Tetrahedron given Circumsphere Radius can be measured.

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