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Height of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio 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{\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}

h - Height of Gyroelongated Pentagonal Pyramid?AV - SA:V of Gyroelongated Pentagonal Pyramid?

Height of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio Example

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

15.0356 = (\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 0.4}

15.0356m = (\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 0.4m⁻¹}

15.0356 = (\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 0.4}

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Height of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

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}

Next Step Substitute values of Variables

∴

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 0.4m⁻¹}

Next Step Prepare to Evaluate

∴

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 0.4}

Next Step Evaluate

∴

h = 15.035559999201m

LAST Step Rounding Answer

∴

h = 15.0356m

Height of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio 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

SA:V of Gyroelongated Pentagonal Pyramid

SA:V of Gyroelongated Pentagonal Pyramid is the numerical ratio of the total surface area of the Gyroelongated Pentagonal Pyramid to the volume of the Gyroelongated Pentagonal Pyramid.

Symbol: AV

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find SA:V 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 Volume

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}}

How to Evaluate Height of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio?

Height of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio evaluator uses 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) to evaluate the Height of Gyroelongated Pentagonal Pyramid, The Height of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio 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 surface to volume ratio of the Gyroelongated Pentagonal Pyramid. Height of Gyroelongated Pentagonal Pyramid is denoted by h symbol.

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

FAQs on Height of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio

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

The formula of Height of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio is expressed as 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). Here is an example- 15.03556 = (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)*0.4).

How to calculate Height of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio?

With SA:V of Gyroelongated Pentagonal Pyramid (AV) we can find Height of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio using the formula - 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). This formula also uses Square Root (sqrt) 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))*(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)

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

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

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

Height of Gyroelongated Pentagonal Pyramid 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 Height of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio can be measured.

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