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

✖Second Semi Axis of Ellipsoid is the length of the segment of second cartesian coordinate axis from the center of the Ellipsoid to its surface.ⓘ Second Semi Axis of Ellipsoid [b]			+10% -10%
✖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.ⓘ Third Semi Axis of Ellipsoid [c]			+10% -10%
✖Surface Area of Ellipsoid is the amount or quantity of two dimensional space covered on the surface of Ellipsoid.ⓘ Surface Area of Ellipsoid [SA]			+10% -10%

✖Volume of Ellipsoid is defined as quantity of three dimensional space enclosed by the entire surface of Ellipsoid.ⓘ Volume of Ellipsoid given Surface Area, Second and Third Semi Axes [V]

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

Formula

`"V" = (4*pi*"b"*"c")/3*(((3*("SA"/(4*pi))^1.6075)-("b"*"c")^1.6075)/("b"^1.6075+"c"^1.6075))^(1/1.6075)`

Example

`"1165.54m³"=(4*pi*"7m"*"4m")/3*(((3*("600m²"/(4*pi))^1.6075)-("7m"*"4m")^1.6075)/(("7m")^1.6075+("4m")^1.6075))^(1/1.6075)`

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

STEP 0: Pre-Calculation Summary

Formula Used

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)
V = (4*pi*b*c)/3*(((3*(SA/(4*pi))^1.6075)-(b*c)^1.6075)/(b^1.6075+c^1.6075))^(1/1.6075)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Volume of Ellipsoid - (Measured in Cubic Meter) - Volume of Ellipsoid is defined as quantity of three dimensional space enclosed by the entire surface of Ellipsoid.
Second Semi Axis of Ellipsoid - (Measured in Meter) - Second Semi Axis of Ellipsoid is the length of the segment of second cartesian coordinate axis from the center of the Ellipsoid to its surface.
Third Semi Axis of Ellipsoid - (Measured in Meter) - 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.
Surface Area of Ellipsoid - (Measured in Square Meter) - Surface Area of Ellipsoid is the amount or quantity of two dimensional space covered on the surface of Ellipsoid.

STEP 1: Convert Input(s) to Base Unit

Second Semi Axis of Ellipsoid: 7 Meter --> 7 Meter No Conversion Required
Third Semi Axis of Ellipsoid: 4 Meter --> 4 Meter No Conversion Required
Surface Area of Ellipsoid: 600 Square Meter --> 600 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = (4*pi*b*c)/3*(((3*(SA/(4*pi))^1.6075)-(b*c)^1.6075)/(b^1.6075+c^1.6075))^(1/1.6075) --> (4*pi*7*4)/3*(((3*(600/(4*pi))^1.6075)-(7*4)^1.6075)/(7^1.6075+4^1.6075))^(1/1.6075)

Evaluating ... ...

V = 1165.53984832766

STEP 3: Convert Result to Output's Unit

1165.53984832766 Cubic Meter --> No Conversion Required

FINAL ANSWER

1165.53984832766 ≈ 1165.54 Cubic Meter <-- Volume of Ellipsoid

(Calculation completed in 00.004 seconds)

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Home » Math » Geometry » 3D Geometry » Ellipsoid » Volume of Ellipsoid » Volume of Ellipsoid given Surface Area, Second and Third Semi Axes

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Created by Divanshi Jain

Netaji Subhash University of Technology, Delhi (NSUT Delhi), Dwarka

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< 4 Volume of Ellipsoid Calculators

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

Go 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 given Surface Area, Second and Third Semi Axes

Go 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)

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

Go 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)

Volume of Ellipsoid

Go Volume of Ellipsoid = 4/3*pi*First Semi Axis of Ellipsoid*Second Semi Axis of Ellipsoid*Third Semi Axis of Ellipsoid

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

What is Ellipsoid?

An Ellipsoid is a surface that may be obtained from a sphere by deforming it by means of directional scalings, or more generally, of an affine transformation. An Ellipsoid is a quadric surface; that is, a surface that may be defined as the zero set of a polynomial of degree two in three variables.

How to Calculate Volume of Ellipsoid given Surface Area, Second and Third Semi Axes?

Volume of Ellipsoid given Surface Area, Second and Third Semi Axes calculator uses 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) to calculate the Volume of Ellipsoid, The Volume of Ellipsoid given Surface Area, Second and Third Semi Axes formula is defined as amount of three dimensional space covered by Ellipsoid, calculated using surface area, second and third semi axes of Ellipsoid. Volume of Ellipsoid is denoted by V symbol.

How to calculate Volume of Ellipsoid given Surface Area, Second and Third Semi Axes using this online calculator? To use this online calculator for Volume of Ellipsoid given Surface Area, Second and Third Semi Axes, enter Second Semi Axis of Ellipsoid (b), Third Semi Axis of Ellipsoid (c) & Surface Area of Ellipsoid (SA) and hit the calculate button. Here is how the Volume of Ellipsoid given Surface Area, Second and Third Semi Axes calculation can be explained with given input values -> 1165.54 = (4*pi*7*4)/3*(((3*(600/(4*pi))^1.6075)-(7*4)^1.6075)/(7^1.6075+4^1.6075))^(1/1.6075).

FAQ

What is Volume of Ellipsoid given Surface Area, Second and Third Semi Axes?

The Volume of Ellipsoid given Surface Area, Second and Third Semi Axes formula is defined as amount of three dimensional space covered by Ellipsoid, calculated using surface area, second and third semi axes of Ellipsoid and is represented as V = (4*pi*b*c)/3*(((3*(SA/(4*pi))^1.6075)-(b*c)^1.6075)/(b^1.6075+c^1.6075))^(1/1.6075) or 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). Second Semi Axis of Ellipsoid is the length of the segment of second cartesian coordinate axis from the center of the Ellipsoid to its surface, 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 & Surface Area of Ellipsoid is the amount or quantity of two dimensional space covered on the surface of Ellipsoid.

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

The Volume of Ellipsoid given Surface Area, Second and Third Semi Axes formula is defined as amount of three dimensional space covered by Ellipsoid, calculated using surface area, second and third semi axes of Ellipsoid is calculated using 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). To calculate Volume of Ellipsoid given Surface Area, Second and Third Semi Axes, you need Second Semi Axis of Ellipsoid (b), Third Semi Axis of Ellipsoid (c) & Surface Area of Ellipsoid (SA). With our tool, you need to enter the respective value for Second Semi Axis of Ellipsoid, Third Semi Axis of Ellipsoid & Surface Area of Ellipsoid and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Volume of Ellipsoid?

In this formula, Volume of Ellipsoid uses Second Semi Axis of Ellipsoid, Third Semi Axis of Ellipsoid & Surface Area of Ellipsoid. We can use 3 other way(s) to calculate the same, which is/are as follows -

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*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)

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