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Insphere Radius of Tetrahedron given Surface to Volume Ratio 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{6}}{R A/V \cdot (2 \cdot \sqrt{6})}

r_i - Insphere Radius of Tetrahedron?R_A/V - Surface to Volume Ratio of Tetrahedron?

Insphere Radius of Tetrahedron given Surface to Volume Ratio Example

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

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

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

2 = \frac{6 \cdot \sqrt{6}}{1.5 \cdot (2 \cdot \sqrt{6})}

2m = \frac{6 \cdot \sqrt{6}}{1.5m⁻¹ \cdot (2 \cdot \sqrt{6})}

2 = \frac{6 \cdot \sqrt{6}}{1.5 \cdot (2 \cdot \sqrt{6})}

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Insphere Radius of Tetrahedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

r i = \frac{6 \cdot \sqrt{6}}{R A/V \cdot (2 \cdot \sqrt{6})}

Next Step Substitute values of Variables

∴

r i = \frac{6 \cdot \sqrt{6}}{1.5m⁻¹ \cdot (2 \cdot \sqrt{6})}

Next Step Prepare to Evaluate

∴

r i = \frac{6 \cdot \sqrt{6}}{1.5 \cdot (2 \cdot \sqrt{6})}

LAST Step Evaluate

∴

r i = 2m

Insphere Radius of Tetrahedron given Surface to Volume Ratio 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

Surface to Volume Ratio of Tetrahedron

The Surface to Volume Ratio of Tetrahedron is the numerical ratio of the total surface area to the volume of the Tetrahedron.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio 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 Surface to Volume Ratio?

Insphere Radius of Tetrahedron given Surface to Volume Ratio evaluator uses Insphere Radius of Tetrahedron = (6*sqrt(6))/(Surface to Volume Ratio of Tetrahedron*(2*sqrt(6))) to evaluate the Insphere Radius of Tetrahedron, The Insphere Radius of Tetrahedron given Surface to Volume Ratio 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 surface to volume ratio of Tetrahedron. Insphere Radius of Tetrahedron is denoted by r_i symbol.

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

FAQs on Insphere Radius of Tetrahedron given Surface to Volume Ratio

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

The formula of Insphere Radius of Tetrahedron given Surface to Volume Ratio is expressed as Insphere Radius of Tetrahedron = (6*sqrt(6))/(Surface to Volume Ratio of Tetrahedron*(2*sqrt(6))). Here is an example- 2 = (6*sqrt(6))/(1.5*(2*sqrt(6))).

How to calculate Insphere Radius of Tetrahedron given Surface to Volume Ratio?

With Surface to Volume Ratio of Tetrahedron (R_A/V) we can find Insphere Radius of Tetrahedron given Surface to Volume Ratio using the formula - Insphere Radius of Tetrahedron = (6*sqrt(6))/(Surface to Volume Ratio of Tetrahedron*(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 Surface to Volume Ratio be negative?

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

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

Insphere Radius of Tetrahedron given Surface to Volume Ratio 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 Surface to Volume Ratio can be measured.

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