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Height of Rotunda Formula

GoHeight of Rotunda given Total Surface Area Formula

GoHeight of Rotunda given Volume Formula

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Height of Rotunda is the vertical distance from the top pentagonal face to the bottom decagonal face of the Rotunda. Check FAQs

h = \sqrt{1 + \frac{2}{\sqrt{5}}} \cdot l e

h - Height of Rotunda?l_e - Edge Length of Rotunda?

Height of Rotunda Example

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Here is how the Height of Rotunda equation looks like with Values.

Here is how the Height of Rotunda equation looks like with Units.

Here is how the Height of Rotunda equation looks like.

13.7638 = \sqrt{1 + \frac{2}{\sqrt{5}}} \cdot 10

13.7638m = \sqrt{1 + \frac{2}{\sqrt{5}}} \cdot 10m

13.7638 = \sqrt{1 + \frac{2}{\sqrt{5}}} \cdot 10

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Height of Rotunda Solution

Follow our step by step solution on how to calculate Height of Rotunda?

FIRST Step Consider the formula

h = \sqrt{1 + \frac{2}{\sqrt{5}}} \cdot l e

Next Step Substitute values of Variables

∴

h = \sqrt{1 + \frac{2}{\sqrt{5}}} \cdot 10m

Next Step Prepare to Evaluate

∴

h = \sqrt{1 + \frac{2}{\sqrt{5}}} \cdot 10

Next Step Evaluate

∴

h = 13.7638192047117m

LAST Step Rounding Answer

∴

h = 13.7638m

Height of Rotunda Formula Elements

Variables

Functions

Height of Rotunda

Height of Rotunda is the vertical distance from the top pentagonal face to the bottom decagonal face of the Rotunda.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Rotunda

Edge Length of Rotunda

Edge Length of Rotunda is the length of any edge of the Rotunda.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Rotunda

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 Rotunda

Go Height of Rotunda given Total Surface Area

h = \sqrt{1 + \frac{2}{\sqrt{5}}} \cdot \sqrt{\frac{TSA}{\frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))})}}

Go Height of Rotunda given Volume

h = \sqrt{1 + \frac{2}{\sqrt{5}}} \cdot {(\frac{V}{\frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))})}^{\frac{1}{3}}

Go Height of Rotunda given Circumsphere Radius

h = \sqrt{1 + \frac{2}{\sqrt{5}}} \cdot \frac{2 \cdot r c}{1 + \sqrt{5}}

Go Height of Rotunda given Surface to Volume Ratio

h = \sqrt{1 + \frac{2}{\sqrt{5}}} \cdot \frac{\frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))})}{R A/V \cdot \frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))}

How to Evaluate Height of Rotunda?

Height of Rotunda evaluator uses Height of Rotunda = sqrt(1+2/sqrt(5))*Edge Length of Rotunda to evaluate the Height of Rotunda, The Height of Rotunda formula is defined as the vertical distance from the top pentagonal face to the bottom decagonal face of the Rotunda. Height of Rotunda is denoted by h symbol.

How to evaluate Height of Rotunda using this online evaluator? To use this online evaluator for Height of Rotunda, enter Edge Length of Rotunda (l_e) and hit the calculate button.

FAQs on Height of Rotunda

What is the formula to find Height of Rotunda?

The formula of Height of Rotunda is expressed as Height of Rotunda = sqrt(1+2/sqrt(5))*Edge Length of Rotunda. Here is an example- 13.76382 = sqrt(1+2/sqrt(5))*10.

How to calculate Height of Rotunda?

With Edge Length of Rotunda (l_e) we can find Height of Rotunda using the formula - Height of Rotunda = sqrt(1+2/sqrt(5))*Edge Length of Rotunda. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Height of Rotunda?

Here are the different ways to Calculate Height of Rotunda-

Height of Rotunda=sqrt(1+2/sqrt(5))*sqrt(Total Surface Area of Rotunda/(1/2*((5*sqrt(3))+sqrt(10*(65+(29*sqrt(5)))))))
Height of Rotunda=sqrt(1+2/sqrt(5))*(Volume of Rotunda/(1/12*(45+(17*sqrt(5)))))^(1/3)
Height of Rotunda=sqrt(1+2/sqrt(5))*(2*Circumsphere Radius of Rotunda)/(1+sqrt(5))

Can the Height of Rotunda be negative?

No, the Height of Rotunda, measured in Length cannot be negative.

Which unit is used to measure Height of Rotunda?

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

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