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

V - Volume of Rotunda?TSA - Total Surface Area of Rotunda?

Volume of Rotunda given Total Surface Area Example

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Here is how the Volume of Rotunda given Total Surface Area equation looks like with Values.

Here is how the Volume of Rotunda given Total Surface Area equation looks like with Units.

Here is how the Volume of Rotunda given Total Surface Area equation looks like.

6757.1727 = \frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5})) \cdot {(\frac{2200}{\frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))})})}^{\frac{3}{2}}

6757.1727m³ = \frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5})) \cdot {(\frac{2200m²}{\frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))})})}^{\frac{3}{2}}

6757.1727 = \frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5})) \cdot {(\frac{2200}{\frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))})})}^{\frac{3}{2}}

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Volume of Rotunda given Total Surface Area Solution

Follow our step by step solution on how to calculate Volume of Rotunda given Total Surface Area?

FIRST Step Consider the formula

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}}

Next Step Substitute values of Variables

∴

V = \frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5})) \cdot {(\frac{2200m²}{\frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))})})}^{\frac{3}{2}}

Next Step Prepare to Evaluate

∴

V = \frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5})) \cdot {(\frac{2200}{\frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))})})}^{\frac{3}{2}}

Next Step Evaluate

∴

V = 6757.17267169007m³

LAST Step Rounding Answer

∴

V = 6757.1727m³

Volume of Rotunda given Total Surface Area 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

Total Surface Area of Rotunda

Total Surface Area of Rotunda is the total amount of two-dimensional space occupied by all the faces of the Rotunda.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area 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

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

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 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 given Total Surface Area?

Volume of Rotunda given Total Surface Area evaluator uses 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) to evaluate the Volume of Rotunda, The Volume of Rotunda given Total Surface Area formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Rotunda and is calculated using the total surface area of the Rotunda. Volume of Rotunda is denoted by V symbol.

How to evaluate Volume of Rotunda given Total Surface Area using this online evaluator? To use this online evaluator for Volume of Rotunda given Total Surface Area, enter Total Surface Area of Rotunda (TSA) and hit the calculate button.

FAQs on Volume of Rotunda given Total Surface Area

What is the formula to find Volume of Rotunda given Total Surface Area?

The formula of Volume of Rotunda given Total Surface Area is expressed as 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). Here is an example- 6757.173 = 1/12*(45+(17*sqrt(5)))*(2200/(1/2*((5*sqrt(3))+sqrt(10*(65+(29*sqrt(5)))))))^(3/2).

How to calculate Volume of Rotunda given Total Surface Area?

With Total Surface Area of Rotunda (TSA) we can find Volume of Rotunda given Total Surface Area using the formula - 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). 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)))*Edge Length of Rotunda^3
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)))*((2*Circumsphere Radius of Rotunda)/(1+sqrt(5)))^3

Can the Volume of Rotunda given Total Surface Area be negative?

No, the Volume of Rotunda given Total Surface Area, measured in Volume cannot be negative.

Which unit is used to measure Volume of Rotunda given Total Surface Area?

Volume of Rotunda given Total Surface Area 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 given Total Surface Area can be measured.

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