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Midsphere Radius of Tetrahedron given Surface to Volume Ratio 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{3 \cdot \sqrt{3}}{R A/V}

r_m - Midsphere Radius of Tetrahedron?R_A/V - Surface to Volume Ratio of Tetrahedron?

Midsphere Radius of Tetrahedron given Surface to Volume Ratio Example

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

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

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

3.4641 = \frac{3 \cdot \sqrt{3}}{1.5}

3.4641m = \frac{3 \cdot \sqrt{3}}{1.5m⁻¹}

3.4641 = \frac{3 \cdot \sqrt{3}}{1.5}

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Midsphere Radius of Tetrahedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

r m = \frac{3 \cdot \sqrt{3}}{R A/V}

Next Step Substitute values of Variables

∴

r m = \frac{3 \cdot \sqrt{3}}{1.5m⁻¹}

Next Step Prepare to Evaluate

∴

r m = \frac{3 \cdot \sqrt{3}}{1.5}

Next Step Evaluate

∴

r m = 3.46410161513775m

LAST Step Rounding Answer

∴

r m = 3.4641m

Midsphere Radius of Tetrahedron given Surface to Volume Ratio 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

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 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 Surface to Volume Ratio?

Midsphere Radius of Tetrahedron given Surface to Volume Ratio evaluator uses Midsphere Radius of Tetrahedron = (3*sqrt(3))/Surface to Volume Ratio of Tetrahedron to evaluate the Midsphere Radius of Tetrahedron, The Midsphere Radius of Tetrahedron given Surface to Volume Ratio 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 surface to volume ratio of Tetrahedron. Midsphere Radius of Tetrahedron is denoted by r_m symbol.

How to evaluate Midsphere Radius of Tetrahedron given Surface to Volume Ratio using this online evaluator? To use this online evaluator for Midsphere 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 Midsphere Radius of Tetrahedron given Surface to Volume Ratio

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

The formula of Midsphere Radius of Tetrahedron given Surface to Volume Ratio is expressed as Midsphere Radius of Tetrahedron = (3*sqrt(3))/Surface to Volume Ratio of Tetrahedron. Here is an example- 3.464102 = (3*sqrt(3))/1.5.

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

With Surface to Volume Ratio of Tetrahedron (R_A/V) we can find Midsphere Radius of Tetrahedron given Surface to Volume Ratio using the formula - Midsphere Radius of Tetrahedron = (3*sqrt(3))/Surface to Volume Ratio of Tetrahedron. This formula also uses Square Root Function 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 Surface to Volume Ratio be negative?

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

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

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

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