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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=4πac3((3(SA4π)1.6075)-(ac)1.6075a1.6075+c1.6075)11.6075
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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With units
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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.

1164.4804Edit=43.141610Edit4Edit3((3(600Edit43.1416)1.6075)-(10Edit4Edit)1.607510Edit1.6075+4Edit1.6075)11.6075
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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=4πac3((3(SA4π)1.6075)-(ac)1.6075a1.6075+c1.6075)11.6075
Next Step Substitute values of Variables
V=4π10m4m3((3(6004π)1.6075)-(10m4m)1.607510m1.6075+4m1.6075)11.6075
Next Step Substitute values of Constants
V=43.141610m4m3((3(60043.1416)1.6075)-(10m4m)1.607510m1.6075+4m1.6075)11.6075
Next Step Prepare to Evaluate
V=43.14161043((3(60043.1416)1.6075)-(104)1.6075101.6075+41.6075)11.6075
Next Step Evaluate
V=1164.48042115019
LAST Step Rounding Answer
V=1164.4804

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:
Note: Value should be greater than 0.
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.
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.
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:
Note: Value should be greater than 0.
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=43πabc
​Go Volume of Ellipsoid given Surface Area, First and Second Semi Axes
V=4πab3((3(SA4π)1.6075)-(ab)1.6075a1.6075+b1.6075)11.6075
​Go Volume of Ellipsoid given Surface Area, Second and Third Semi Axes
V=4πbc3((3(SA4π)1.6075)-(bc)1.6075b1.6075+c1.6075)11.6075

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 EllipsoidOpenImg
  • 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)OpenImg
  • 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)OpenImg
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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