Second Semi Axis of Ellipsoid given Surface Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Second Semi Axis of Ellipsoid = (((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)
b = (((3*(SA/(4*pi))^1.6075)-(a*c)^1.6075)/(a^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
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.
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.
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.
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
Surface Area of Ellipsoid: 600 Square Meter --> 600 Square Meter No Conversion Required
First Semi Axis of Ellipsoid: 10 Meter --> 10 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
b = (((3*(SA/(4*pi))^1.6075)-(a*c)^1.6075)/(a^1.6075+c^1.6075))^(1/1.6075) --> (((3*(600/(4*pi))^1.6075)-(10*4)^1.6075)/(10^1.6075+4^1.6075))^(1/1.6075)
Evaluating ... ...
b = 6.94998056849192
STEP 3: Convert Result to Output's Unit
6.94998056849192 Meter --> No Conversion Required
FINAL ANSWER
6.94998056849192 6.949981 Meter <-- Second Semi Axis of Ellipsoid
(Calculation completed in 00.004 seconds)

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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)

Second Semi Axis of Ellipsoid given Surface Area Formula

​LaTeX ​Go
Second Semi Axis of Ellipsoid = (((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)
b = (((3*(SA/(4*pi))^1.6075)-(a*c)^1.6075)/(a^1.6075+c^1.6075))^(1/1.6075)

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 Second Semi Axis of Ellipsoid given Surface Area?

Second Semi Axis of Ellipsoid given Surface Area calculator uses Second Semi Axis of Ellipsoid = (((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 calculate the Second Semi Axis of Ellipsoid, The Second Semi Axis of Ellipsoid given Surface Area formula is defined as the length of the segment of second cartesian coordinate axis from the center of the Ellipsoid to its surface, calculated using surface area of Ellipsoid. Second Semi Axis of Ellipsoid is denoted by b symbol.

How to calculate Second Semi Axis of Ellipsoid given Surface Area using this online calculator? To use this online calculator for Second Semi Axis of Ellipsoid given Surface Area, enter Surface Area of Ellipsoid (SA), First Semi Axis of Ellipsoid (a) & Third Semi Axis of Ellipsoid (c) and hit the calculate button. Here is how the Second Semi Axis of Ellipsoid given Surface Area calculation can be explained with given input values -> 6.949981 = (((3*(600/(4*pi))^1.6075)-(10*4)^1.6075)/(10^1.6075+4^1.6075))^(1/1.6075).

FAQ

What is Second Semi Axis of Ellipsoid given Surface Area?
The Second Semi Axis of Ellipsoid given Surface Area formula is defined as the length of the segment of second cartesian coordinate axis from the center of the Ellipsoid to its surface, calculated using surface area of Ellipsoid and is represented as b = (((3*(SA/(4*pi))^1.6075)-(a*c)^1.6075)/(a^1.6075+c^1.6075))^(1/1.6075) or Second Semi Axis of Ellipsoid = (((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). Surface Area of Ellipsoid is the amount or quantity of two dimensional space covered on the 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 & 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 Second Semi Axis of Ellipsoid given Surface Area?
The Second Semi Axis of Ellipsoid given Surface Area formula is defined as the length of the segment of second cartesian coordinate axis from the center of the Ellipsoid to its surface, calculated using surface area of Ellipsoid is calculated using Second Semi Axis of Ellipsoid = (((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 calculate Second Semi Axis of Ellipsoid given Surface Area, you need Surface Area of Ellipsoid (SA), First Semi Axis of Ellipsoid (a) & Third Semi Axis of Ellipsoid (c). With our tool, you need to enter the respective value for Surface Area of Ellipsoid, First 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 Second Semi Axis of Ellipsoid?
In this formula, Second Semi Axis of Ellipsoid uses Surface Area of Ellipsoid, First Semi Axis of Ellipsoid & Third Semi Axis of Ellipsoid. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Second Semi Axis of Ellipsoid = (3*Volume of Ellipsoid)/(4*pi*First Semi Axis of Ellipsoid*Third Semi Axis of Ellipsoid)
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