Volume of Ellipsoid Calculator

✖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.ⓘ First Semi Axis of Ellipsoid [a]			+10% -10%
✖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%

✖Volume of Ellipsoid is defined as quantity of three dimensional space enclosed by the entire surface of Ellipsoid.ⓘ Volume of Ellipsoid [V]

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Formula

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Volume of Ellipsoid

Formula

`"V" = 4/3*pi*"a"*"b"*"c"`

Example

`"1172.861m³"=4/3*pi*"10m"*"7m"*"4m"`

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Volume of Ellipsoid Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Ellipsoid = 4/3*pi*First Semi Axis of Ellipsoid*Second Semi Axis of Ellipsoid*Third Semi Axis of Ellipsoid
V = 4/3*pi*a*b*c
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.
First Semi Axis of Ellipsoid - (Measured in Meter) - 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.
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.

STEP 1: Convert Input(s) to Base Unit

First Semi Axis of Ellipsoid: 10 Meter --> 10 Meter No Conversion Required
Second Semi Axis of Ellipsoid: 7 Meter --> 7 Meter No Conversion Required
Third Semi Axis of Ellipsoid: 4 Meter --> 4 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = 4/3*pi*a*b*c --> 4/3*pi*10*7*4

Evaluating ... ...

V = 1172.86125734019

STEP 3: Convert Result to Output's Unit

1172.86125734019 Cubic Meter --> No Conversion Required

FINAL ANSWER

1172.86125734019 ≈ 1172.861 Cubic Meter <-- Volume of Ellipsoid

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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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 Formula

Volume of Ellipsoid = 4/3*pi*First Semi Axis of Ellipsoid*Second Semi Axis of Ellipsoid*Third Semi Axis of Ellipsoid
V = 4/3*pi*a*b*c

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?

Volume of Ellipsoid calculator uses Volume of Ellipsoid = 4/3*pi*First Semi Axis of Ellipsoid*Second Semi Axis of Ellipsoid*Third Semi Axis of Ellipsoid to calculate the Volume of Ellipsoid, The Volume of Ellipsoid formula is defined as amount of three dimensional space covered by Ellipsoid. Volume of Ellipsoid is denoted by V symbol.

How to calculate Volume of Ellipsoid using this online calculator? To use this online calculator for Volume of Ellipsoid, enter First Semi Axis of Ellipsoid (a), Second Semi Axis of Ellipsoid (b) & Third Semi Axis of Ellipsoid (c) and hit the calculate button. Here is how the Volume of Ellipsoid calculation can be explained with given input values -> 1172.861 = 4/3*pi*10*7*4.

FAQ

What is Volume of Ellipsoid?

The Volume of Ellipsoid formula is defined as amount of three dimensional space covered by Ellipsoid and is represented as V = 4/3*pi*a*b*c or Volume of Ellipsoid = 4/3*pi*First Semi Axis of Ellipsoid*Second Semi Axis of Ellipsoid*Third 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, 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.

How to calculate Volume of Ellipsoid?

The Volume of Ellipsoid formula is defined as amount of three dimensional space covered by Ellipsoid is calculated using Volume of Ellipsoid = 4/3*pi*First Semi Axis of Ellipsoid*Second Semi Axis of Ellipsoid*Third Semi Axis of Ellipsoid. To calculate Volume of Ellipsoid, you need First Semi Axis of Ellipsoid (a), Second Semi Axis of Ellipsoid (b) & Third Semi Axis of Ellipsoid (c). With our tool, you need to enter the respective value for First Semi Axis of Ellipsoid, Second Semi Axis of Ellipsoid & Third Semi Axis 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 First Semi Axis of Ellipsoid, Second Semi Axis of Ellipsoid & Third Semi Axis of Ellipsoid. We can use 3 other way(s) to calculate the same, which is/are as follows -

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)
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)

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