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Circumsphere Radius of Tetrahedron given Volume Formula

GoCircumsphere Radius of Tetrahedron given Height Formula

GoCircumsphere Radius of Tetrahedron Formula

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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. Check FAQs

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

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

Circumsphere Radius of Tetrahedron given Volume Example

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

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

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

6.1607 = \frac{1}{2} \cdot \sqrt{\frac{3}{2}} \cdot {(6 \cdot \sqrt{2} \cdot 120)}^{\frac{1}{3}}

6.1607m = \frac{1}{2} \cdot \sqrt{\frac{3}{2}} \cdot {(6 \cdot \sqrt{2} \cdot 120m³)}^{\frac{1}{3}}

6.1607 = \frac{1}{2} \cdot \sqrt{\frac{3}{2}} \cdot {(6 \cdot \sqrt{2} \cdot 120)}^{\frac{1}{3}}

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Circumsphere Radius of Tetrahedron given Volume Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

r c = 6.16071992047835m

LAST Step Rounding Answer

∴

r c = 6.1607m

Circumsphere Radius of Tetrahedron given Volume Formula Elements

Variables

Functions

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

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 Circumsphere Radius of Tetrahedron

Go Circumsphere Radius of Tetrahedron given Height

r c = \frac{3}{4} \cdot h

Go Circumsphere Radius of Tetrahedron

r c = \frac{1}{2} \cdot \sqrt{\frac{3}{2}} \cdot l e

Go Circumsphere Radius of Tetrahedron given Face Area

r c = \frac{1}{2} \cdot \sqrt{\frac{3}{2}} \cdot \sqrt{\frac{4 \cdot A Face}{\sqrt{3}}}

Go Circumsphere Radius of Tetrahedron given Total Surface Area

r c = \frac{1}{2} \cdot \sqrt{\frac{3}{2}} \cdot \sqrt{\frac{TSA}{\sqrt{3}}}

How to Evaluate Circumsphere Radius of Tetrahedron given Volume?

Circumsphere Radius of Tetrahedron given Volume evaluator uses Circumsphere Radius of Tetrahedron = 1/2*sqrt(3/2)*(6*sqrt(2)*Volume of Tetrahedron)^(1/3) to evaluate the Circumsphere Radius of Tetrahedron, The Circumsphere Radius of Tetrahedron given Volume formula is defined as the radius of the sphere that contains the Tetrahedron in such a way that all the vertices are lying on the sphere, calculated using volume of Tetrahedron. Circumsphere Radius of Tetrahedron is denoted by r_c symbol.

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

FAQs on Circumsphere Radius of Tetrahedron given Volume

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

The formula of Circumsphere Radius of Tetrahedron given Volume is expressed as Circumsphere Radius of Tetrahedron = 1/2*sqrt(3/2)*(6*sqrt(2)*Volume of Tetrahedron)^(1/3). Here is an example- 6.16072 = 1/2*sqrt(3/2)*(6*sqrt(2)*120)^(1/3).

How to calculate Circumsphere Radius of Tetrahedron given Volume?

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

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

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

Circumsphere Radius of Tetrahedron=3/4*Height of Tetrahedron
Circumsphere Radius of Tetrahedron=1/2*sqrt(3/2)*Edge Length of Tetrahedron
Circumsphere Radius of Tetrahedron=1/2*sqrt(3/2)*sqrt((4*Face Area of Tetrahedron)/sqrt(3))

Can the Circumsphere Radius of Tetrahedron given Volume be negative?

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

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

Circumsphere 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 Circumsphere Radius of Tetrahedron given Volume can be measured.

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