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

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

✖Surface Area of Ellipsoid is the amount or quantity of two dimensional space covered on the surface of Ellipsoid.ⓘ Surface Area of Ellipsoid given Volume, First, and Third Semi Axes [SA]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Ellipsoid Formulas PDF PDF Image

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

STEP 0: Pre-Calculation Summary

Formula Used

Surface Area of Ellipsoid = 4*pi*((((3*Volume of Ellipsoid)/(4*pi*Third Semi Axis of Ellipsoid))^(1.6075)+((3*Volume of Ellipsoid)/(4*pi*First Semi Axis of Ellipsoid))^(1.6075)+(First Semi Axis of Ellipsoid*Third Semi Axis of Ellipsoid)^(1.6075))/3)^(1/1.6075)
SA = 4*pi*((((3*V)/(4*pi*c))^(1.6075)+((3*V)/(4*pi*a))^(1.6075)+(a*c)^(1.6075))/3)^(1/1.6075)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Volume of Ellipsoid: 1200 Cubic Meter --> 1200 Cubic Meter No Conversion Required
Third Semi Axis of Ellipsoid: 4 Meter --> 4 Meter No Conversion Required
First Semi Axis of Ellipsoid: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

SA = 4*pi*((((3*V)/(4*pi*c))^(1.6075)+((3*V)/(4*pi*a))^(1.6075)+(a*c)^(1.6075))/3)^(1/1.6075) --> 4*pi*((((3*1200)/(4*pi*4))^(1.6075)+((3*1200)/(4*pi*10))^(1.6075)+(10*4)^(1.6075))/3)^(1/1.6075)

Evaluating ... ...

SA = 613.743074490409

STEP 3: Convert Result to Output's Unit

613.743074490409 Square Meter --> No Conversion Required

FINAL ANSWER

613.743074490409 ≈ 613.7431 Square Meter <-- Surface Area of Ellipsoid

(Calculation completed in 00.020 seconds)

You are here -

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

Credits

Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has verified this Calculator and 1800+ more calculators!

< Surface Area of Ellipsoid Calculators

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

LaTeX Go Surface Area of Ellipsoid = 4*pi*((((3*Volume of Ellipsoid)/(4*pi*Third Semi Axis of Ellipsoid))^(1.6075)+(Second Semi Axis of Ellipsoid*Third Semi Axis of Ellipsoid)^(1.6075)+((3*Volume of Ellipsoid)/(4*pi*Second Semi Axis of Ellipsoid))^(1.6075))/3)^(1/1.6075)

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

LaTeX Go Surface Area of Ellipsoid = 4*pi*(((First Semi Axis of Ellipsoid*Second Semi Axis of Ellipsoid)^(1.6075)+((3*Volume of Ellipsoid)/(4*pi*First Semi Axis of Ellipsoid))^(1.6075)+((3*Volume of Ellipsoid)/(4*pi*Second Semi Axis of Ellipsoid))^(1.6075))/3)^(1/1.6075)

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

LaTeX Go Surface Area of Ellipsoid = 4*pi*((((3*Volume of Ellipsoid)/(4*pi*Third Semi Axis of Ellipsoid))^(1.6075)+((3*Volume of Ellipsoid)/(4*pi*First Semi Axis of Ellipsoid))^(1.6075)+(First Semi Axis of Ellipsoid*Third Semi Axis of Ellipsoid)^(1.6075))/3)^(1/1.6075)

Surface Area of Ellipsoid

LaTeX Go Surface Area of Ellipsoid = 4*pi*(((First Semi Axis of Ellipsoid*Second Semi Axis of Ellipsoid)^(1.6075)+(Second Semi Axis of Ellipsoid*Third Semi Axis of Ellipsoid)^(1.6075)+(First Semi Axis of Ellipsoid*Third Semi Axis of Ellipsoid)^(1.6075))/3)^(1/1.6075)

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

LaTeX Go

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

Surface Area of Ellipsoid given Volume, First, and Third Semi Axes calculator uses Surface Area of Ellipsoid = 4*pi*((((3*Volume of Ellipsoid)/(4*pi*Third Semi Axis of Ellipsoid))^(1.6075)+((3*Volume of Ellipsoid)/(4*pi*First Semi Axis of Ellipsoid))^(1.6075)+(First Semi Axis of Ellipsoid*Third Semi Axis of Ellipsoid)^(1.6075))/3)^(1/1.6075) to calculate the Surface Area of Ellipsoid, Surface Area of Ellipsoid given Volume, First, and Third Semi Axes formula is defined as the amount or quantity of two dimensional space covered on the surface of Ellipsoid, and calculated using the volume and first and third semi axes of the Ellipsoid. Surface Area of Ellipsoid is denoted by SA symbol.

How to calculate Surface Area of Ellipsoid given Volume, First, and Third Semi Axes using this online calculator? To use this online calculator for Surface Area of Ellipsoid given Volume, First, and Third Semi Axes, enter Volume of Ellipsoid (V), Third Semi Axis of Ellipsoid (c) & First Semi Axis of Ellipsoid (a) and hit the calculate button. Here is how the Surface Area of Ellipsoid given Volume, First, and Third Semi Axes calculation can be explained with given input values -> 613.7431 = 4*pi*((((3*1200)/(4*pi*4))^(1.6075)+((3*1200)/(4*pi*10))^(1.6075)+(10*4)^(1.6075))/3)^(1/1.6075).

FAQ

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

Surface Area of Ellipsoid given Volume, First, and Third Semi Axes formula is defined as the amount or quantity of two dimensional space covered on the surface of Ellipsoid, and calculated using the volume and first and third semi axes of the Ellipsoid and is represented as SA = 4*pi*((((3*V)/(4*pi*c))^(1.6075)+((3*V)/(4*pi*a))^(1.6075)+(a*c)^(1.6075))/3)^(1/1.6075) or Surface Area of Ellipsoid = 4*pi*((((3*Volume of Ellipsoid)/(4*pi*Third Semi Axis of Ellipsoid))^(1.6075)+((3*Volume of Ellipsoid)/(4*pi*First Semi Axis of Ellipsoid))^(1.6075)+(First Semi Axis of Ellipsoid*Third Semi Axis of Ellipsoid)^(1.6075))/3)^(1/1.6075). Volume of Ellipsoid is defined as quantity of three dimensional space enclosed by the entire surface 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 & 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.

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

Surface Area of Ellipsoid given Volume, First, and Third Semi Axes formula is defined as the amount or quantity of two dimensional space covered on the surface of Ellipsoid, and calculated using the volume and first and third semi axes of the Ellipsoid is calculated using Surface Area of Ellipsoid = 4*pi*((((3*Volume of Ellipsoid)/(4*pi*Third Semi Axis of Ellipsoid))^(1.6075)+((3*Volume of Ellipsoid)/(4*pi*First Semi Axis of Ellipsoid))^(1.6075)+(First Semi Axis of Ellipsoid*Third Semi Axis of Ellipsoid)^(1.6075))/3)^(1/1.6075). To calculate Surface Area of Ellipsoid given Volume, First, and Third Semi Axes, you need Volume of Ellipsoid (V), Third Semi Axis of Ellipsoid (c) & First Semi Axis of Ellipsoid (a). With our tool, you need to enter the respective value for Volume of Ellipsoid, Third Semi Axis of Ellipsoid & First 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 Surface Area of Ellipsoid?

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

Surface Area of Ellipsoid = 4*pi*(((First Semi Axis of Ellipsoid*Second Semi Axis of Ellipsoid)^(1.6075)+(Second Semi Axis of Ellipsoid*Third Semi Axis of Ellipsoid)^(1.6075)+(First Semi Axis of Ellipsoid*Third Semi Axis of Ellipsoid)^(1.6075))/3)^(1/1.6075)
Surface Area of Ellipsoid = 4*pi*((((3*Volume of Ellipsoid)/(4*pi*Third Semi Axis of Ellipsoid))^(1.6075)+(Second Semi Axis of Ellipsoid*Third Semi Axis of Ellipsoid)^(1.6075)+((3*Volume of Ellipsoid)/(4*pi*Second Semi Axis of Ellipsoid))^(1.6075))/3)^(1/1.6075)
Surface Area of Ellipsoid = 4*pi*(((First Semi Axis of Ellipsoid*Second Semi Axis of Ellipsoid)^(1.6075)+((3*Volume of Ellipsoid)/(4*pi*First Semi Axis of Ellipsoid))^(1.6075)+((3*Volume of Ellipsoid)/(4*pi*Second Semi Axis of Ellipsoid))^(1.6075))/3)^(1/1.6075)

Home

FREE PDFs

🔍 Search