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Midsphere Radius of Tetrahedron given Volume Formula

GoMidsphere Radius of Tetrahedron Formula

GoMidsphere Radius of Tetrahedron given Circumsphere Radius Formula

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Midsphere Radius of Tetrahedron is the radius of the sphere for which all the edges of the Tetrahedron become a tangent line to that sphere. Check FAQs

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

r_m - Midsphere Radius of Tetrahedron?V - Volume of Tetrahedron?

Midsphere Radius of Tetrahedron given Volume Example

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

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

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

3.5569 = \frac{{(6 \cdot \sqrt{2} \cdot 120)}^{\frac{1}{3}}}{2 \cdot \sqrt{2}}

3.5569m = \frac{{(6 \cdot \sqrt{2} \cdot 120m³)}^{\frac{1}{3}}}{2 \cdot \sqrt{2}}

3.5569 = \frac{{(6 \cdot \sqrt{2} \cdot 120)}^{\frac{1}{3}}}{2 \cdot \sqrt{2}}

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Midsphere Radius of Tetrahedron given Volume Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

r m = 3.55689330449006m

LAST Step Rounding Answer

∴

r m = 3.5569m

Midsphere Radius of Tetrahedron given Volume Formula Elements

Variables

Functions

Midsphere Radius of Tetrahedron

Midsphere Radius of Tetrahedron is the radius of the sphere for which all the edges of the Tetrahedron become a tangent line to that sphere.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere 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 Midsphere Radius of Tetrahedron

Go Midsphere Radius of Tetrahedron

r m = \frac{l e}{2 \cdot \sqrt{2}}

Go Midsphere Radius of Tetrahedron given Circumsphere Radius

r m = \sqrt{\frac{1}{3}} \cdot r c

Go Midsphere Radius of Tetrahedron given Total Surface Area

r m = \frac{\sqrt{\frac{TSA}{\sqrt{3}}}}{2 \cdot \sqrt{2}}

Go Midsphere Radius of Tetrahedron given Face Area

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

How to Evaluate Midsphere Radius of Tetrahedron given Volume?

Midsphere Radius of Tetrahedron given Volume evaluator uses Midsphere Radius of Tetrahedron = (6*sqrt(2)*Volume of Tetrahedron)^(1/3)/(2*sqrt(2)) to evaluate the Midsphere Radius of Tetrahedron, The Midsphere Radius of Tetrahedron given Volume formula is defined as the radius of the sphere for which all the edges of the Tetrahedron become a tangent line to that sphere, calculated using volume of Tetrahedron. Midsphere Radius of Tetrahedron is denoted by r_m symbol.

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

FAQs on Midsphere Radius of Tetrahedron given Volume

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

The formula of Midsphere Radius of Tetrahedron given Volume is expressed as Midsphere Radius of Tetrahedron = (6*sqrt(2)*Volume of Tetrahedron)^(1/3)/(2*sqrt(2)). Here is an example- 3.556893 = (6*sqrt(2)*120)^(1/3)/(2*sqrt(2)).

How to calculate Midsphere Radius of Tetrahedron given Volume?

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

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

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

Midsphere Radius of Tetrahedron=Edge Length of Tetrahedron/(2*sqrt(2))
Midsphere Radius of Tetrahedron=sqrt(1/3)*Circumsphere Radius of Tetrahedron
Midsphere Radius of Tetrahedron=sqrt(Total Surface Area of Tetrahedron/(sqrt(3)))/(2*sqrt(2))

Can the Midsphere Radius of Tetrahedron given Volume be negative?

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

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

Midsphere 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 Midsphere Radius of Tetrahedron given Volume can be measured.

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