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Volume of Rotunda Formula

GoVolume of Rotunda given Height Formula

GoVolume of Rotunda given Total Surface Area Formula

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Volume of Rotunda is the total quantity of three-dimensional space enclosed by the surface of the Rotunda. Check FAQs

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

V - Volume of Rotunda?l_e - Edge Length of Rotunda?

Volume of Rotunda Example

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

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

Here is how the Volume of Rotunda equation looks like.

6917.763 = \frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5})) \cdot 10^{3}

6917.763m³ = \frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5})) \cdot {10m}^{3}

6917.763 = \frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5})) \cdot 10^{3}

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Volume of Rotunda Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = \frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5})) \cdot {10m}^{3}

Next Step Prepare to Evaluate

∴

V = \frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5})) \cdot 10^{3}

Next Step Evaluate

∴

V = 6917.7629681247m³

LAST Step Rounding Answer

∴

V = 6917.763m³

Volume of Rotunda Formula Elements

Variables

Functions

Volume of Rotunda

Volume of Rotunda is the total quantity of three-dimensional space enclosed by the surface of the Rotunda.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume 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 Volume of Rotunda

Go Volume of Rotunda given Height

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

Go Volume of Rotunda given Total Surface Area

V = \frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5})) \cdot {(\frac{TSA}{\frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))})})}^{\frac{3}{2}}

Go Volume of Rotunda given Circumsphere Radius

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

Go Volume of Rotunda given Surface to Volume Ratio

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

How to Evaluate Volume of Rotunda?

Volume of Rotunda evaluator uses Volume of Rotunda = 1/12*(45+(17*sqrt(5)))*Edge Length of Rotunda^3 to evaluate the Volume of Rotunda, The Volume of Rotunda formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Rotunda. Volume of Rotunda is denoted by V symbol.

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

FAQs on Volume of Rotunda

What is the formula to find Volume of Rotunda?

The formula of Volume of Rotunda is expressed as Volume of Rotunda = 1/12*(45+(17*sqrt(5)))*Edge Length of Rotunda^3. Here is an example- 6917.763 = 1/12*(45+(17*sqrt(5)))*10^3.

How to calculate Volume of Rotunda?

With Edge Length of Rotunda (l_e) we can find Volume of Rotunda using the formula - Volume of Rotunda = 1/12*(45+(17*sqrt(5)))*Edge Length of Rotunda^3. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Volume of Rotunda?

Here are the different ways to Calculate Volume of Rotunda-

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

Can the Volume of Rotunda be negative?

No, the Volume of Rotunda, measured in Volume cannot be negative.

Which unit is used to measure Volume of Rotunda?

Volume of Rotunda is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Volume of Rotunda can be measured.

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