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Height of Pentagonal Bipyramid given Surface to Volume Ratio Formula

GoHeight of Pentagonal Bipyramid Formula

GoHeight of Pentagonal Bipyramid given Total Surface Area Formula

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

h = 2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}} \cdot \frac{\frac{5 \cdot \sqrt{3}}{2}}{\frac{5 + \sqrt{5}}{12} \cdot R A/V}

h - Height of Pentagonal Bipyramid?R_A/V - Surface to Volume Ratio of Pentagonal Bipyramid?

Height of Pentagonal Bipyramid given Surface to Volume Ratio Example

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Here is how the Height of Pentagonal Bipyramid given Surface to Volume Ratio equation looks like with Values.

Here is how the Height of Pentagonal Bipyramid given Surface to Volume Ratio equation looks like with Units.

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

10.7864 = 2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}} \cdot \frac{\frac{5 \cdot \sqrt{3}}{2}}{\frac{5 + \sqrt{5}}{12} \cdot 0.7}

10.7864m = 2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}} \cdot \frac{\frac{5 \cdot \sqrt{3}}{2}}{\frac{5 + \sqrt{5}}{12} \cdot 0.7m⁻¹}

10.7864 = 2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}} \cdot \frac{\frac{5 \cdot \sqrt{3}}{2}}{\frac{5 + \sqrt{5}}{12} \cdot 0.7}

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Height of Pentagonal Bipyramid given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

h = 2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}} \cdot \frac{\frac{5 \cdot \sqrt{3}}{2}}{\frac{5 + \sqrt{5}}{12} \cdot R A/V}

Next Step Substitute values of Variables

∴

h = 2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}} \cdot \frac{\frac{5 \cdot \sqrt{3}}{2}}{\frac{5 + \sqrt{5}}{12} \cdot 0.7m⁻¹}

Next Step Prepare to Evaluate

∴

h = 2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}} \cdot \frac{\frac{5 \cdot \sqrt{3}}{2}}{\frac{5 + \sqrt{5}}{12} \cdot 0.7}

Next Step Evaluate

∴

h = 10.7863591916984m

LAST Step Rounding Answer

∴

h = 10.7864m

Height of Pentagonal Bipyramid given Surface to Volume Ratio Formula Elements

Variables

Functions

Height of Pentagonal Bipyramid

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

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Pentagonal Bipyramid

Surface to Volume Ratio of Pentagonal Bipyramid

Surface to Volume Ratio of Pentagonal Bipyramid is the numerical ratio of the total surface area of a Pentagonal Bipyramid to the volume of the Pentagonal Bipyramid.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of Pentagonal Bipyramid

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 Pentagonal Bipyramid

Go Height of Pentagonal Bipyramid

h = 2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}} \cdot l e

Go Height of Pentagonal Bipyramid given Total Surface Area

h = 2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}} \cdot \sqrt{\frac{2 \cdot TSA}{5 \cdot \sqrt{3}}}

Go Height of Pentagonal Bipyramid given Volume

h = 2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}} \cdot {(\frac{12 \cdot V}{5 + \sqrt{5}})}^{\frac{1}{3}}

How to Evaluate Height of Pentagonal Bipyramid given Surface to Volume Ratio?

Height of Pentagonal Bipyramid given Surface to Volume Ratio evaluator uses Height of Pentagonal Bipyramid = 2*sqrt((5-sqrt(5))/10)*((5*sqrt(3))/2)/((5+sqrt(5))/12*Surface to Volume Ratio of Pentagonal Bipyramid) to evaluate the Height of Pentagonal Bipyramid, The Height of Pentagonal Bipyramid given Surface to Volume Ratio formula is defined as the vertical distance from the highest point to the lowest point of the Pentagonal Bipyramid and is calculated using the surface to volume ratio of the Pentagonal Bipyramid. Height of Pentagonal Bipyramid is denoted by h symbol.

How to evaluate Height of Pentagonal Bipyramid given Surface to Volume Ratio using this online evaluator? To use this online evaluator for Height of Pentagonal Bipyramid given Surface to Volume Ratio, enter Surface to Volume Ratio of Pentagonal Bipyramid (R_A/V) and hit the calculate button.

FAQs on Height of Pentagonal Bipyramid given Surface to Volume Ratio

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

The formula of Height of Pentagonal Bipyramid given Surface to Volume Ratio is expressed as Height of Pentagonal Bipyramid = 2*sqrt((5-sqrt(5))/10)*((5*sqrt(3))/2)/((5+sqrt(5))/12*Surface to Volume Ratio of Pentagonal Bipyramid). Here is an example- 10.78636 = 2*sqrt((5-sqrt(5))/10)*((5*sqrt(3))/2)/((5+sqrt(5))/12*0.7).

How to calculate Height of Pentagonal Bipyramid given Surface to Volume Ratio?

With Surface to Volume Ratio of Pentagonal Bipyramid (R_A/V) we can find Height of Pentagonal Bipyramid given Surface to Volume Ratio using the formula - Height of Pentagonal Bipyramid = 2*sqrt((5-sqrt(5))/10)*((5*sqrt(3))/2)/((5+sqrt(5))/12*Surface to Volume Ratio of Pentagonal Bipyramid). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Height of Pentagonal Bipyramid?

Here are the different ways to Calculate Height of Pentagonal Bipyramid-

Height of Pentagonal Bipyramid=2*sqrt((5-sqrt(5))/10)*Edge Length of Pentagonal Bipyramid
Height of Pentagonal Bipyramid=2*sqrt((5-sqrt(5))/10)*sqrt((2*Total Surface Area of Pentagonal Bipyramid)/(5*sqrt(3)))
Height of Pentagonal Bipyramid=2*sqrt((5-sqrt(5))/10)*((12*Volume of Pentagonal Bipyramid)/(5+sqrt(5)))^(1/3)

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

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

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

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

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