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Height of Tetrahedron given Circumsphere Radius Formula

GoHeight of Tetrahedron Formula

GoHeight of Tetrahedron given Face Area Formula

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Height of Tetrahedron is the vertical distance from any vertex of the Tetrahedron to the face which is directly opposite to that vertex. Check FAQs

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

h - Height of Tetrahedron?r_c - Circumsphere Radius of Tetrahedron?

Height of Tetrahedron given Circumsphere Radius Example

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

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

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

8 = \frac{4}{3} \cdot 6

8m = \frac{4}{3} \cdot 6m

8 = \frac{4}{3} \cdot 6

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Height of Tetrahedron given Circumsphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = \frac{4}{3} \cdot 6m

Next Step Prepare to Evaluate

∴

h = \frac{4}{3} \cdot 6

LAST Step Evaluate

∴

h = 8m

Height of Tetrahedron given Circumsphere Radius Formula Elements

Variables

Height of Tetrahedron

Height of Tetrahedron is the vertical distance from any vertex of the Tetrahedron to the face which is directly opposite to that vertex.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height 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

Other Formulas to find Height of Tetrahedron

Go Height of Tetrahedron

h = \sqrt{\frac{2}{3}} \cdot l e

Go Height of Tetrahedron given Face Area

h = \sqrt{\frac{8 \cdot A Face}{3 \cdot \sqrt{3}}}

Go Height of Tetrahedron given Volume

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

How to Evaluate Height of Tetrahedron given Circumsphere Radius?

Height of Tetrahedron given Circumsphere Radius evaluator uses Height of Tetrahedron = 4/3*Circumsphere Radius of Tetrahedron to evaluate the Height of Tetrahedron, Height of Tetrahedron given Circumsphere Radius formula is defined as the vertical distance from any vertex of the Tetrahedron to the face which is directly opposite to that vertex, and calculated using the circumsphere radius of the Tetrahedron. Height of Tetrahedron is denoted by h symbol.

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

FAQs on Height of Tetrahedron given Circumsphere Radius

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

The formula of Height of Tetrahedron given Circumsphere Radius is expressed as Height of Tetrahedron = 4/3*Circumsphere Radius of Tetrahedron. Here is an example- 8 = 4/3*6.

How to calculate Height of Tetrahedron given Circumsphere Radius?

With Circumsphere Radius of Tetrahedron (r_c) we can find Height of Tetrahedron given Circumsphere Radius using the formula - Height of Tetrahedron = 4/3*Circumsphere Radius of Tetrahedron.

What are the other ways to Calculate Height of Tetrahedron?

Here are the different ways to Calculate Height of Tetrahedron-

Height of Tetrahedron=sqrt(2/3)*Edge Length of Tetrahedron
Height of Tetrahedron=sqrt((8*Face Area of Tetrahedron)/(3*sqrt(3)))
Height of Tetrahedron=sqrt(2/3)*(6*sqrt(2)*Volume of Tetrahedron)^(1/3)

Can the Height of Tetrahedron given Circumsphere Radius be negative?

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

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

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

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