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Insphere Radius of Tetrakis Hexahedron given Volume Formula

GoInsphere Radius of Tetrakis Hexahedron Formula

GoInsphere Radius of Tetrakis Hexahedron given Surface to Volume Ratio Formula

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Insphere Radius of Tetrakis Hexahedron is the radius of the sphere that is contained by the Tetrakis Hexahedron in such a way that all the faces just touching the sphere. Check FAQs

r i = \frac{3 \cdot \sqrt{5}}{10} \cdot {(\frac{2 \cdot V}{3})}^{\frac{1}{3}}

r_i - Insphere Radius of Tetrakis Hexahedron?V - Volume of Tetrakis Hexahedron?

Insphere Radius of Tetrakis Hexahedron given Volume Example

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Here is how the Insphere Radius of Tetrakis Hexahedron given Volume equation looks like with Values.

Here is how the Insphere Radius of Tetrakis Hexahedron given Volume equation looks like with Units.

Here is how the Insphere Radius of Tetrakis Hexahedron given Volume equation looks like.

6.7082 = \frac{3 \cdot \sqrt{5}}{10} \cdot {(\frac{2 \cdot 1500}{3})}^{\frac{1}{3}}

6.7082m = \frac{3 \cdot \sqrt{5}}{10} \cdot {(\frac{2 \cdot 1500m³}{3})}^{\frac{1}{3}}

6.7082 = \frac{3 \cdot \sqrt{5}}{10} \cdot {(\frac{2 \cdot 1500}{3})}^{\frac{1}{3}}

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Insphere Radius of Tetrakis Hexahedron given Volume Solution

Follow our step by step solution on how to calculate Insphere Radius of Tetrakis Hexahedron given Volume?

FIRST Step Consider the formula

r i = \frac{3 \cdot \sqrt{5}}{10} \cdot {(\frac{2 \cdot V}{3})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

r i = \frac{3 \cdot \sqrt{5}}{10} \cdot {(\frac{2 \cdot 1500m³}{3})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

r i = \frac{3 \cdot \sqrt{5}}{10} \cdot {(\frac{2 \cdot 1500}{3})}^{\frac{1}{3}}

Next Step Evaluate

∴

r i = 6.70820393249937m

LAST Step Rounding Answer

∴

r i = 6.7082m

Insphere Radius of Tetrakis Hexahedron given Volume Formula Elements

Variables

Functions

Insphere Radius of Tetrakis Hexahedron

Insphere Radius of Tetrakis Hexahedron is the radius of the sphere that is contained by the Tetrakis Hexahedron 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 Tetrakis Hexahedron

Volume of Tetrakis Hexahedron

Volume of Tetrakis Hexahedron is the quantity of three-dimensional space enclosed by the entire surface of the Tetrakis Hexahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Tetrakis Hexahedron

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 Tetrakis Hexahedron

Go Insphere Radius of Tetrakis Hexahedron

r i = \frac{3}{10} \cdot l e(Cube) \cdot \sqrt{5}

Go Insphere Radius of Tetrakis Hexahedron given Surface to Volume Ratio

r i = \frac{3}{R A/V}

Go Insphere Radius of Tetrakis Hexahedron given Midsphere Radius

r i = \frac{3 \cdot r m}{\sqrt{10}}

Go Insphere Radius of Tetrakis Hexahedron given Total Surface Area

r i = \frac{3 \cdot \sqrt{5}}{10} \cdot \sqrt{\frac{TSA}{3 \cdot \sqrt{5}}}

How to Evaluate Insphere Radius of Tetrakis Hexahedron given Volume?

Insphere Radius of Tetrakis Hexahedron given Volume evaluator uses Insphere Radius of Tetrakis Hexahedron = (3*sqrt(5))/10*((2*Volume of Tetrakis Hexahedron)/3)^(1/3) to evaluate the Insphere Radius of Tetrakis Hexahedron, Insphere Radius of Tetrakis Hexahedron given Volume formula is defined as the radius of the sphere that is contained by the Tetrakis Hexahedron in such a way that all the faces just touching the sphere, calculated using volume of Tetrakis Hexahedron. Insphere Radius of Tetrakis Hexahedron is denoted by r_i symbol.

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

FAQs on Insphere Radius of Tetrakis Hexahedron given Volume

What is the formula to find Insphere Radius of Tetrakis Hexahedron given Volume?

The formula of Insphere Radius of Tetrakis Hexahedron given Volume is expressed as Insphere Radius of Tetrakis Hexahedron = (3*sqrt(5))/10*((2*Volume of Tetrakis Hexahedron)/3)^(1/3). Here is an example- 6.708204 = (3*sqrt(5))/10*((2*1500)/3)^(1/3).

How to calculate Insphere Radius of Tetrakis Hexahedron given Volume?

With Volume of Tetrakis Hexahedron (V) we can find Insphere Radius of Tetrakis Hexahedron given Volume using the formula - Insphere Radius of Tetrakis Hexahedron = (3*sqrt(5))/10*((2*Volume of Tetrakis Hexahedron)/3)^(1/3). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Insphere Radius of Tetrakis Hexahedron?

Here are the different ways to Calculate Insphere Radius of Tetrakis Hexahedron-

Insphere Radius of Tetrakis Hexahedron=3/10*Cubical Edge Length of Tetrakis Hexahedron*sqrt(5)
Insphere Radius of Tetrakis Hexahedron=3/Surface to Volume Ratio of Tetrakis Hexahedron
Insphere Radius of Tetrakis Hexahedron=(3*Midsphere Radius of Tetrakis Hexahedron)/sqrt(10)

Can the Insphere Radius of Tetrakis Hexahedron given Volume be negative?

No, the Insphere Radius of Tetrakis Hexahedron given Volume, measured in Length cannot be negative.

Which unit is used to measure Insphere Radius of Tetrakis Hexahedron given Volume?

Insphere Radius of Tetrakis Hexahedron given Volume 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 Tetrakis Hexahedron given Volume can be measured.

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