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Height of Gyroelongated Pentagonal Pyramid given Volume Formula

GoHeight of Gyroelongated Pentagonal Pyramid Formula

GoHeight of Gyroelongated Pentagonal Pyramid given Total Surface Area Formula

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Height of Gyroelongated Pentagonal Pyramid is the vertical distance from the highest point to the lowest point of the Gyroelongated Pentagonal Pyramid. Check FAQs

h = (\sqrt{1 - \frac{4}{10 + (2 \cdot \sqrt{5})}} + \sqrt{\frac{5 - \sqrt{5}}{10}}) \cdot {(\frac{V}{\frac{5 \cdot (\sqrt{5} + 1) \cdot \sqrt{\frac{10 + (2 \cdot \sqrt{5})}{4} - 1}}{3 \cdot (10 - (2 \cdot \sqrt{5}))} + \frac{5 + \sqrt{5}}{24}})}^{\frac{1}{3}}

h - Height of Gyroelongated Pentagonal Pyramid?V - Volume of Gyroelongated Pentagonal Pyramid?

Height of Gyroelongated Pentagonal Pyramid given Volume Example

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Here is how the Height of Gyroelongated Pentagonal Pyramid given Volume equation looks like with Values.

Here is how the Height of Gyroelongated Pentagonal Pyramid given Volume equation looks like with Units.

Here is how the Height of Gyroelongated Pentagonal Pyramid given Volume equation looks like.

13.812 = (\sqrt{1 - \frac{4}{10 + (2 \cdot \sqrt{5})}} + \sqrt{\frac{5 - \sqrt{5}}{10}}) \cdot {(\frac{1900}{\frac{5 \cdot (\sqrt{5} + 1) \cdot \sqrt{\frac{10 + (2 \cdot \sqrt{5})}{4} - 1}}{3 \cdot (10 - (2 \cdot \sqrt{5}))} + \frac{5 + \sqrt{5}}{24}})}^{\frac{1}{3}}

13.812m = (\sqrt{1 - \frac{4}{10 + (2 \cdot \sqrt{5})}} + \sqrt{\frac{5 - \sqrt{5}}{10}}) \cdot {(\frac{1900m³}{\frac{5 \cdot (\sqrt{5} + 1) \cdot \sqrt{\frac{10 + (2 \cdot \sqrt{5})}{4} - 1}}{3 \cdot (10 - (2 \cdot \sqrt{5}))} + \frac{5 + \sqrt{5}}{24}})}^{\frac{1}{3}}

13.812 = (\sqrt{1 - \frac{4}{10 + (2 \cdot \sqrt{5})}} + \sqrt{\frac{5 - \sqrt{5}}{10}}) \cdot {(\frac{1900}{\frac{5 \cdot (\sqrt{5} + 1) \cdot \sqrt{\frac{10 + (2 \cdot \sqrt{5})}{4} - 1}}{3 \cdot (10 - (2 \cdot \sqrt{5}))} + \frac{5 + \sqrt{5}}{24}})}^{\frac{1}{3}}

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3D Geometry » fx Height of Gyroelongated Pentagonal Pyramid given Volume

Height of Gyroelongated Pentagonal Pyramid given Volume Solution

Follow our step by step solution on how to calculate Height of Gyroelongated Pentagonal Pyramid given Volume?

FIRST Step Consider the formula

h = (\sqrt{1 - \frac{4}{10 + (2 \cdot \sqrt{5})}} + \sqrt{\frac{5 - \sqrt{5}}{10}}) \cdot {(\frac{V}{\frac{5 \cdot (\sqrt{5} + 1) \cdot \sqrt{\frac{10 + (2 \cdot \sqrt{5})}{4} - 1}}{3 \cdot (10 - (2 \cdot \sqrt{5}))} + \frac{5 + \sqrt{5}}{24}})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

h = (\sqrt{1 - \frac{4}{10 + (2 \cdot \sqrt{5})}} + \sqrt{\frac{5 - \sqrt{5}}{10}}) \cdot {(\frac{1900m³}{\frac{5 \cdot (\sqrt{5} + 1) \cdot \sqrt{\frac{10 + (2 \cdot \sqrt{5})}{4} - 1}}{3 \cdot (10 - (2 \cdot \sqrt{5}))} + \frac{5 + \sqrt{5}}{24}})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

h = (\sqrt{1 - \frac{4}{10 + (2 \cdot \sqrt{5})}} + \sqrt{\frac{5 - \sqrt{5}}{10}}) \cdot {(\frac{1900}{\frac{5 \cdot (\sqrt{5} + 1) \cdot \sqrt{\frac{10 + (2 \cdot \sqrt{5})}{4} - 1}}{3 \cdot (10 - (2 \cdot \sqrt{5}))} + \frac{5 + \sqrt{5}}{24}})}^{\frac{1}{3}}

Next Step Evaluate

∴

h = 13.8119844457233m

LAST Step Rounding Answer

∴

h = 13.812m

Height of Gyroelongated Pentagonal Pyramid given Volume Formula Elements

Variables

Functions

Height of Gyroelongated Pentagonal Pyramid

Height of Gyroelongated Pentagonal Pyramid is the vertical distance from the highest point to the lowest point of the Gyroelongated Pentagonal Pyramid.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Gyroelongated Pentagonal Pyramid

Volume of Gyroelongated Pentagonal Pyramid

Volume of Gyroelongated Pentagonal Pyramid is the total quantity of three-dimensional space enclosed by the surface of the Gyroelongated Pentagonal Pyramid.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Gyroelongated Pentagonal Pyramid

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 Height of Gyroelongated Pentagonal Pyramid

Go Height of Gyroelongated Pentagonal Pyramid

h = (\sqrt{1 - \frac{4}{10 + (2 \cdot \sqrt{5})}} + \sqrt{\frac{5 - \sqrt{5}}{10}}) \cdot l e

Go Height of Gyroelongated Pentagonal Pyramid given Total Surface Area

h = (\sqrt{1 - \frac{4}{10 + (2 \cdot \sqrt{5})}} + \sqrt{\frac{5 - \sqrt{5}}{10}}) \cdot \sqrt{\frac{SA Total}{\frac{(15 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})}}{4}}}

Go Height of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio

h = (\sqrt{1 - \frac{4}{10 + (2 \cdot \sqrt{5})}} + \sqrt{\frac{5 - \sqrt{5}}{10}}) \cdot \frac{\frac{(15 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})}}{4}}{(\frac{5 \cdot (\sqrt{5} + 1) \cdot \sqrt{\frac{10 + (2 \cdot \sqrt{5})}{4} - 1}}{3 \cdot (10 - (2 \cdot \sqrt{5}))} + \frac{5 + \sqrt{5}}{24}) \cdot AV}

How to Evaluate Height of Gyroelongated Pentagonal Pyramid given Volume?

Height of Gyroelongated Pentagonal Pyramid given Volume evaluator uses Height of Gyroelongated Pentagonal Pyramid = (sqrt(1-4/(10+(2*sqrt(5))))+sqrt((5-sqrt(5))/10))*(Volume of Gyroelongated Pentagonal Pyramid/((5*(sqrt(5)+1)*sqrt((10+(2*sqrt(5)))/4-1))/(3*(10-(2*sqrt(5))))+(5+sqrt(5))/24))^(1/3) to evaluate the Height of Gyroelongated Pentagonal Pyramid, The Height of Gyroelongated Pentagonal Pyramid given Volume formula is defined as the vertical distance from the highest point to the lowest point of the Gyroelongated Pentagonal Pyramid and is calculated using the volume of the Gyroelongated Pentagonal Pyramid. Height of Gyroelongated Pentagonal Pyramid is denoted by h symbol.

How to evaluate Height of Gyroelongated Pentagonal Pyramid given Volume using this online evaluator? To use this online evaluator for Height of Gyroelongated Pentagonal Pyramid given Volume, enter Volume of Gyroelongated Pentagonal Pyramid (V) and hit the calculate button.

FAQs on Height of Gyroelongated Pentagonal Pyramid given Volume

What is the formula to find Height of Gyroelongated Pentagonal Pyramid given Volume?

The formula of Height of Gyroelongated Pentagonal Pyramid given Volume is expressed as Height of Gyroelongated Pentagonal Pyramid = (sqrt(1-4/(10+(2*sqrt(5))))+sqrt((5-sqrt(5))/10))*(Volume of Gyroelongated Pentagonal Pyramid/((5*(sqrt(5)+1)*sqrt((10+(2*sqrt(5)))/4-1))/(3*(10-(2*sqrt(5))))+(5+sqrt(5))/24))^(1/3). Here is an example- 13.81198 = (sqrt(1-4/(10+(2*sqrt(5))))+sqrt((5-sqrt(5))/10))*(1900/((5*(sqrt(5)+1)*sqrt((10+(2*sqrt(5)))/4-1))/(3*(10-(2*sqrt(5))))+(5+sqrt(5))/24))^(1/3).

How to calculate Height of Gyroelongated Pentagonal Pyramid given Volume?

With Volume of Gyroelongated Pentagonal Pyramid (V) we can find Height of Gyroelongated Pentagonal Pyramid given Volume using the formula - Height of Gyroelongated Pentagonal Pyramid = (sqrt(1-4/(10+(2*sqrt(5))))+sqrt((5-sqrt(5))/10))*(Volume of Gyroelongated Pentagonal Pyramid/((5*(sqrt(5)+1)*sqrt((10+(2*sqrt(5)))/4-1))/(3*(10-(2*sqrt(5))))+(5+sqrt(5))/24))^(1/3). This formula also uses Square Root Function function(s).

What are the other ways to Calculate Height of Gyroelongated Pentagonal Pyramid?

Here are the different ways to Calculate Height of Gyroelongated Pentagonal Pyramid-

Height of Gyroelongated Pentagonal Pyramid=(sqrt(1-4/(10+(2*sqrt(5))))+sqrt((5-sqrt(5))/10))*Edge Length of Gyroelongated Pentagonal Pyramid
Height of Gyroelongated Pentagonal Pyramid=(sqrt(1-4/(10+(2*sqrt(5))))+sqrt((5-sqrt(5))/10))*sqrt(TSA of Gyroelongated Pentagonal Pyramid/(((15*sqrt(3))+sqrt(25+(10*sqrt(5))))/4))
Height of Gyroelongated Pentagonal Pyramid=(sqrt(1-4/(10+(2*sqrt(5))))+sqrt((5-sqrt(5))/10))*(((15*sqrt(3))+sqrt(25+(10*sqrt(5))))/4)/(((5*(sqrt(5)+1)*sqrt((10+(2*sqrt(5)))/4-1))/(3*(10-(2*sqrt(5))))+(5+sqrt(5))/24)*SA:V of Gyroelongated Pentagonal Pyramid)

Can the Height of Gyroelongated Pentagonal Pyramid given Volume be negative?

No, the Height of Gyroelongated Pentagonal Pyramid given Volume, measured in Length cannot be negative.

Which unit is used to measure Height of Gyroelongated Pentagonal Pyramid given Volume?

Height of Gyroelongated Pentagonal Pyramid given Volume is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Height of Gyroelongated Pentagonal Pyramid given Volume can be measured.

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