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Insphere Radius of Tetrahedron given Volume Formula

GoInsphere Radius of Tetrahedron given Face Area Formula

GoInsphere Radius of Tetrahedron Formula

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Insphere Radius of Tetrahedron is the radius of the sphere that is contained by the Tetrahedron in such a way that all the faces just touching the sphere. Check FAQs

r i = \frac{{(6 \cdot \sqrt{2} \cdot V)}^{\frac{1}{3}}}{2 \cdot \sqrt{6}}

r_i - Insphere Radius of Tetrahedron?V - Volume of Tetrahedron?

Insphere Radius of Tetrahedron given Volume Example

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

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

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

2.0536 = \frac{{(6 \cdot \sqrt{2} \cdot 120)}^{\frac{1}{3}}}{2 \cdot \sqrt{6}}

2.0536m = \frac{{(6 \cdot \sqrt{2} \cdot 120m³)}^{\frac{1}{3}}}{2 \cdot \sqrt{6}}

2.0536 = \frac{{(6 \cdot \sqrt{2} \cdot 120)}^{\frac{1}{3}}}{2 \cdot \sqrt{6}}

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Insphere Radius of Tetrahedron given Volume Solution

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

FIRST Step Consider the formula

r i = \frac{{(6 \cdot \sqrt{2} \cdot V)}^{\frac{1}{3}}}{2 \cdot \sqrt{6}}

Next Step Substitute values of Variables

∴

r i = \frac{{(6 \cdot \sqrt{2} \cdot 120m³)}^{\frac{1}{3}}}{2 \cdot \sqrt{6}}

Next Step Prepare to Evaluate

∴

r i = \frac{{(6 \cdot \sqrt{2} \cdot 120)}^{\frac{1}{3}}}{2 \cdot \sqrt{6}}

Next Step Evaluate

∴

r i = 2.05357330682612m

LAST Step Rounding Answer

∴

r i = 2.0536m

Insphere Radius of Tetrahedron given Volume Formula Elements

Variables

Functions

Insphere Radius of Tetrahedron

Insphere Radius of Tetrahedron is the radius of the sphere that is contained by the Tetrahedron in such a way that all the faces just touching the sphere.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Insphere Radius of Tetrahedron

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

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 Insphere Radius of Tetrahedron

Go Insphere Radius of Tetrahedron given Face Area

r i = \frac{\sqrt{\frac{4 \cdot A Face}{\sqrt{3}}}}{2 \cdot \sqrt{6}}

Go Insphere Radius of Tetrahedron

r i = \frac{l e}{2 \cdot \sqrt{6}}

Go Insphere Radius of Tetrahedron given Height

r i = \frac{h}{4}

Go Insphere Radius of Tetrahedron given Circumsphere Radius

r i = \frac{r c}{3}

How to Evaluate Insphere Radius of Tetrahedron given Volume?

Insphere Radius of Tetrahedron given Volume evaluator uses Insphere Radius of Tetrahedron = (6*sqrt(2)*Volume of Tetrahedron)^(1/3)/(2*sqrt(6)) to evaluate the Insphere Radius of Tetrahedron, The Insphere Radius of Tetrahedron given Volume formula is defined as the radius of the sphere that is contained by the Tetrahedron in such a way that all the faces just touching the sphere, calculated using volume of Tetrahedron. Insphere Radius of Tetrahedron is denoted by r_i symbol.

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

FAQs on Insphere Radius of Tetrahedron given Volume

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

The formula of Insphere Radius of Tetrahedron given Volume is expressed as Insphere Radius of Tetrahedron = (6*sqrt(2)*Volume of Tetrahedron)^(1/3)/(2*sqrt(6)). Here is an example- 2.053573 = (6*sqrt(2)*120)^(1/3)/(2*sqrt(6)).

How to calculate Insphere Radius of Tetrahedron given Volume?

With Volume of Tetrahedron (V) we can find Insphere Radius of Tetrahedron given Volume using the formula - Insphere Radius of Tetrahedron = (6*sqrt(2)*Volume of Tetrahedron)^(1/3)/(2*sqrt(6)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Insphere Radius of Tetrahedron?

Here are the different ways to Calculate Insphere Radius of Tetrahedron-

Insphere Radius of Tetrahedron=sqrt((4*Face Area of Tetrahedron)/sqrt(3))/(2*sqrt(6))
Insphere Radius of Tetrahedron=Edge Length of Tetrahedron/(2*sqrt(6))
Insphere Radius of Tetrahedron=Height of Tetrahedron/4

Can the Insphere Radius of Tetrahedron given Volume be negative?

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

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

Insphere Radius of Tetrahedron given Volume is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Insphere Radius of Tetrahedron given Volume can be measured.

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