Third Semi Axis of Ellipsoid Solution

STEP 0: Pre-Calculation Summary
Formula Used
Third Semi Axis of Ellipsoid = (3*Volume of Ellipsoid)/(4*pi*First Semi Axis of Ellipsoid*Second Semi Axis of Ellipsoid)
c = (3*V)/(4*pi*a*b)
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
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.
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.
STEP 1: Convert Input(s) to Base Unit
Volume of Ellipsoid: 1200 Cubic Meter --> 1200 Cubic Meter No Conversion Required
First Semi Axis of Ellipsoid: 10 Meter --> 10 Meter No Conversion Required
Second Semi Axis of Ellipsoid: 7 Meter --> 7 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
c = (3*V)/(4*pi*a*b) --> (3*1200)/(4*pi*10*7)
Evaluating ... ...
c = 4.09255567950588
STEP 3: Convert Result to Output's Unit
4.09255567950588 Meter --> No Conversion Required
FINAL ANSWER
4.09255567950588 4.092556 Meter <-- Third Semi Axis of Ellipsoid
(Calculation completed in 00.004 seconds)

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Walchand College of Engineering (WCE), Sangli
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Axis of Ellipsoid Calculators

Third Semi Axis of Ellipsoid given Surface Area
​ LaTeX ​ Go Third Semi Axis of Ellipsoid = (((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)
Second Semi Axis of Ellipsoid
​ LaTeX ​ Go Second Semi Axis of Ellipsoid = (3*Volume of Ellipsoid)/(4*pi*First Semi Axis of Ellipsoid*Third Semi Axis of Ellipsoid)
First Semi Axis of Ellipsoid
​ LaTeX ​ Go First Semi Axis of Ellipsoid = (3*Volume of Ellipsoid)/(4*pi*Second Semi Axis of Ellipsoid*Third Semi Axis of Ellipsoid)
Third Semi Axis of Ellipsoid
​ LaTeX ​ Go Third Semi Axis of Ellipsoid = (3*Volume of Ellipsoid)/(4*pi*First Semi Axis of Ellipsoid*Second Semi Axis of Ellipsoid)

Third Semi Axis of Ellipsoid Formula

​LaTeX ​Go
Third Semi Axis of Ellipsoid = (3*Volume of Ellipsoid)/(4*pi*First Semi Axis of Ellipsoid*Second Semi Axis of Ellipsoid)
c = (3*V)/(4*pi*a*b)

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 Third Semi Axis of Ellipsoid?

Third Semi Axis of Ellipsoid calculator uses Third Semi Axis of Ellipsoid = (3*Volume of Ellipsoid)/(4*pi*First Semi Axis of Ellipsoid*Second Semi Axis of Ellipsoid) to calculate the Third Semi Axis of Ellipsoid, The Third Semi Axis of Ellipsoid formula is defined as the length of the segment of third cartesian coordinate axis from the center of the Ellipsoid to its surface. Third Semi Axis of Ellipsoid is denoted by c symbol.

How to calculate Third Semi Axis of Ellipsoid using this online calculator? To use this online calculator for Third Semi Axis of Ellipsoid, enter Volume of Ellipsoid (V), First Semi Axis of Ellipsoid (a) & Second Semi Axis of Ellipsoid (b) and hit the calculate button. Here is how the Third Semi Axis of Ellipsoid calculation can be explained with given input values -> 4.092556 = (3*1200)/(4*pi*10*7).

FAQ

What is Third Semi Axis of Ellipsoid?
The Third Semi Axis of Ellipsoid formula is defined as the length of the segment of third cartesian coordinate axis from the center of the Ellipsoid to its surface and is represented as c = (3*V)/(4*pi*a*b) or Third Semi Axis of Ellipsoid = (3*Volume of Ellipsoid)/(4*pi*First Semi Axis of Ellipsoid*Second Semi Axis of Ellipsoid). Volume of Ellipsoid is defined as quantity of three dimensional space enclosed by the entire surface 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.
How to calculate Third Semi Axis of Ellipsoid?
The Third Semi Axis of Ellipsoid formula is defined as the length of the segment of third cartesian coordinate axis from the center of the Ellipsoid to its surface is calculated using Third Semi Axis of Ellipsoid = (3*Volume of Ellipsoid)/(4*pi*First Semi Axis of Ellipsoid*Second Semi Axis of Ellipsoid). To calculate Third Semi Axis of Ellipsoid, you need Volume of Ellipsoid (V), First Semi Axis of Ellipsoid (a) & Second Semi Axis of Ellipsoid (b). With our tool, you need to enter the respective value for Volume of Ellipsoid, First Semi Axis of Ellipsoid & Second 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 Third Semi Axis of Ellipsoid?
In this formula, Third Semi Axis of Ellipsoid uses Volume of Ellipsoid, First Semi Axis of Ellipsoid & Second Semi Axis of Ellipsoid. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Third Semi Axis of Ellipsoid = (((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)
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