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Volume of Ellipsoid given Surface Area, First and Third Semi Axes Formula

GoVolume of Ellipsoid Formula

GoVolume of Ellipsoid given Surface Area, First and Second Semi Axes Formula

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Volume of Ellipsoid is defined as quantity of three dimensional space enclosed by the entire surface of Ellipsoid. Check FAQs

V = \frac{4 \cdot π \cdot a \cdot c}{3} \cdot {(\frac{(3 \cdot {(\frac{SA}{4 \cdot π})}^{1.6075}) - {(a \cdot c)}^{1.6075}}{a^{1.6075} + c^{1.6075}})}^{\frac{1}{1.6075}}

V - Volume of Ellipsoid?a - First Semi Axis of Ellipsoid?c - Third Semi Axis of Ellipsoid?SA - Surface Area of Ellipsoid?π - Archimedes' constant?

Volume of Ellipsoid given Surface Area, First and Third Semi Axes Example

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Here is how the Volume of Ellipsoid given Surface Area, First and Third Semi Axes equation looks like with Values.

Here is how the Volume of Ellipsoid given Surface Area, First and Third Semi Axes equation looks like with Units.

Here is how the Volume of Ellipsoid given Surface Area, First and Third Semi Axes equation looks like.

1164.4804 = \frac{4 \cdot 3.1416 \cdot 10 \cdot 4}{3} \cdot {(\frac{(3 \cdot {(\frac{600}{4 \cdot 3.1416})}^{1.6075}) - {(10 \cdot 4)}^{1.6075}}{10^{1.6075} + 4^{1.6075}})}^{\frac{1}{1.6075}}

1164.4804m³ = \frac{4 \cdot 3.1416 \cdot 10m \cdot 4m}{3} \cdot {(\frac{(3 \cdot {(\frac{600m²}{4 \cdot 3.1416})}^{1.6075}) - {(10m \cdot 4m)}^{1.6075}}{{10m}^{1.6075} + {4m}^{1.6075}})}^{\frac{1}{1.6075}}

1164.4804 = \frac{4 \cdot 3.1416 \cdot 10 \cdot 4}{3} \cdot {(\frac{(3 \cdot {(\frac{600}{4 \cdot 3.1416})}^{1.6075}) - {(10 \cdot 4)}^{1.6075}}{10^{1.6075} + 4^{1.6075}})}^{\frac{1}{1.6075}}

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Volume of Ellipsoid given Surface Area, First and Third Semi Axes Solution

Follow our step by step solution on how to calculate Volume of Ellipsoid given Surface Area, First and Third Semi Axes?

FIRST Step Consider the formula

V = \frac{4 \cdot π \cdot a \cdot c}{3} \cdot {(\frac{(3 \cdot {(\frac{SA}{4 \cdot π})}^{1.6075}) - {(a \cdot c)}^{1.6075}}{a^{1.6075} + c^{1.6075}})}^{\frac{1}{1.6075}}

Next Step Substitute values of Variables

∴

V = \frac{4 \cdot π \cdot 10m \cdot 4m}{3} \cdot {(\frac{(3 \cdot {(\frac{600m²}{4 \cdot π})}^{1.6075}) - {(10m \cdot 4m)}^{1.6075}}{{10m}^{1.6075} + {4m}^{1.6075}})}^{\frac{1}{1.6075}}

Next Step Substitute values of Constants

∴

V = \frac{4 \cdot 3.1416 \cdot 10m \cdot 4m}{3} \cdot {(\frac{(3 \cdot {(\frac{600m²}{4 \cdot 3.1416})}^{1.6075}) - {(10m \cdot 4m)}^{1.6075}}{{10m}^{1.6075} + {4m}^{1.6075}})}^{\frac{1}{1.6075}}

Next Step Prepare to Evaluate

∴

V = \frac{4 \cdot 3.1416 \cdot 10 \cdot 4}{3} \cdot {(\frac{(3 \cdot {(\frac{600}{4 \cdot 3.1416})}^{1.6075}) - {(10 \cdot 4)}^{1.6075}}{10^{1.6075} + 4^{1.6075}})}^{\frac{1}{1.6075}}

Next Step Evaluate

∴

V = 1164.48042115019m³

LAST Step Rounding Answer

∴

V = 1164.4804m³

Volume of Ellipsoid given Surface Area, First and Third Semi Axes Formula Elements

Variables

Constants

Volume of Ellipsoid

Volume of Ellipsoid is defined as quantity of three dimensional space enclosed by the entire surface of Ellipsoid.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Ellipsoid

First Semi Axis of Ellipsoid

First Semi Axis of Ellipsoid is the length of the segment of first cartesian coordinate axis from the center of the Ellipsoid to its surface.

Symbol: a

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find First Semi Axis of Ellipsoid

Third Semi Axis of Ellipsoid

Third Semi Axis of Ellipsoid is the length of the segment of third cartesian coordinate axis from the center of the Ellipsoid to its surface.

Symbol: c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Third Semi Axis of Ellipsoid

Surface Area of Ellipsoid

Surface Area of Ellipsoid is the amount or quantity of two dimensional space covered on the surface of Ellipsoid.

Symbol: SA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Surface Area of Ellipsoid

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Volume of Ellipsoid

Go Volume of Ellipsoid

V = \frac{4}{3} \cdot π \cdot a \cdot b \cdot c

Go Volume of Ellipsoid given Surface Area, First and Second Semi Axes

V = \frac{4 \cdot π \cdot a \cdot b}{3} \cdot {(\frac{(3 \cdot {(\frac{SA}{4 \cdot π})}^{1.6075}) - {(a \cdot b)}^{1.6075}}{a^{1.6075} + b^{1.6075}})}^{\frac{1}{1.6075}}

Go Volume of Ellipsoid given Surface Area, Second and Third Semi Axes

V = \frac{4 \cdot π \cdot b \cdot c}{3} \cdot {(\frac{(3 \cdot {(\frac{SA}{4 \cdot π})}^{1.6075}) - {(b \cdot c)}^{1.6075}}{b^{1.6075} + c^{1.6075}})}^{\frac{1}{1.6075}}

How to Evaluate Volume of Ellipsoid given Surface Area, First and Third Semi Axes?

Volume of Ellipsoid given Surface Area, First and Third Semi Axes evaluator uses Volume of Ellipsoid = (4*pi*First Semi Axis of Ellipsoid*Third Semi Axis of Ellipsoid)/3*(((3*(Surface Area of Ellipsoid/(4*pi))^1.6075)-(First Semi Axis of Ellipsoid*Third Semi Axis of Ellipsoid)^1.6075)/(First Semi Axis of Ellipsoid^1.6075+Third Semi Axis of Ellipsoid^1.6075))^(1/1.6075) to evaluate the Volume of Ellipsoid, The Volume of Ellipsoid given Surface Area, First and Third Semi Axes formula is defined as amount of three dimensional space covered by Ellipsoid, calculated using surface area, first and third semi axes of Ellipsoid. Volume of Ellipsoid is denoted by V symbol.

How to evaluate Volume of Ellipsoid given Surface Area, First and Third Semi Axes using this online evaluator? To use this online evaluator for Volume of Ellipsoid given Surface Area, First and Third Semi Axes, enter First Semi Axis of Ellipsoid (a), Third Semi Axis of Ellipsoid (c) & Surface Area of Ellipsoid (SA) and hit the calculate button.

FAQs on Volume of Ellipsoid given Surface Area, First and Third Semi Axes

What is the formula to find Volume of Ellipsoid given Surface Area, First and Third Semi Axes?

The formula of Volume of Ellipsoid given Surface Area, First and Third Semi Axes is expressed as Volume of Ellipsoid = (4*pi*First Semi Axis of Ellipsoid*Third Semi Axis of Ellipsoid)/3*(((3*(Surface Area of Ellipsoid/(4*pi))^1.6075)-(First Semi Axis of Ellipsoid*Third Semi Axis of Ellipsoid)^1.6075)/(First Semi Axis of Ellipsoid^1.6075+Third Semi Axis of Ellipsoid^1.6075))^(1/1.6075). Here is an example- 1164.48 = (4*pi*10*4)/3*(((3*(600/(4*pi))^1.6075)-(10*4)^1.6075)/(10^1.6075+4^1.6075))^(1/1.6075).

How to calculate Volume of Ellipsoid given Surface Area, First and Third Semi Axes?

With First Semi Axis of Ellipsoid (a), Third Semi Axis of Ellipsoid (c) & Surface Area of Ellipsoid (SA) we can find Volume of Ellipsoid given Surface Area, First and Third Semi Axes using the formula - Volume of Ellipsoid = (4*pi*First Semi Axis of Ellipsoid*Third Semi Axis of Ellipsoid)/3*(((3*(Surface Area of Ellipsoid/(4*pi))^1.6075)-(First Semi Axis of Ellipsoid*Third Semi Axis of Ellipsoid)^1.6075)/(First Semi Axis of Ellipsoid^1.6075+Third Semi Axis of Ellipsoid^1.6075))^(1/1.6075). This formula also uses Archimedes' constant .

What are the other ways to Calculate Volume of Ellipsoid?

Here are the different ways to Calculate Volume of Ellipsoid-

Volume of Ellipsoid=4/3*pi*First Semi Axis of Ellipsoid*Second Semi Axis of Ellipsoid*Third Semi Axis of Ellipsoid
Volume of Ellipsoid=(4*pi*First Semi Axis of Ellipsoid*Second Semi Axis of Ellipsoid)/3*(((3*(Surface Area of Ellipsoid/(4*pi))^1.6075)-(First Semi Axis of Ellipsoid*Second Semi Axis of Ellipsoid)^1.6075)/(First Semi Axis of Ellipsoid^1.6075+Second Semi Axis of Ellipsoid^1.6075))^(1/1.6075)
Volume of Ellipsoid=(4*pi*Second Semi Axis of Ellipsoid*Third Semi Axis of Ellipsoid)/3*(((3*(Surface Area of Ellipsoid/(4*pi))^1.6075)-(Second Semi Axis of Ellipsoid*Third Semi Axis of Ellipsoid)^1.6075)/(Second Semi Axis of Ellipsoid^1.6075+Third Semi Axis of Ellipsoid^1.6075))^(1/1.6075)

Can the Volume of Ellipsoid given Surface Area, First and Third Semi Axes be negative?

No, the Volume of Ellipsoid given Surface Area, First and Third Semi Axes, measured in Volume cannot be negative.

Which unit is used to measure Volume of Ellipsoid given Surface Area, First and Third Semi Axes?

Volume of Ellipsoid given Surface Area, First and Third Semi Axes 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 Ellipsoid given Surface Area, First and Third Semi Axes can be measured.

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Volume of Ellipsoid given Surface Area, First and Third Semi Axes Formula

​GoVolume of Ellipsoid Formula

​GoVolume of Ellipsoid given Surface Area, First and Second Semi Axes Formula

Volume of Ellipsoid given Surface Area, First and Third Semi Axes Example

Volume of Ellipsoid given Surface Area, First and Third Semi Axes Solution

Volume of Ellipsoid given Surface Area, First and Third Semi Axes Formula Elements

Other Formulas to find Volume of Ellipsoid

How to Evaluate Volume of Ellipsoid given Surface Area, First and Third Semi Axes?

FAQs on Volume of Ellipsoid given Surface Area, First and Third Semi Axes

Variable Name

GoVolume of Ellipsoid Formula

GoVolume of Ellipsoid given Surface Area, First and Second Semi Axes Formula