Total Surface Area of Semi Ellipsoid given Volume Calculator

✖Bisected Axis of Semi Ellipsoid is the half of the first axis which is bisected when Semi Ellipsoid is formed from the complete Ellipsoid.ⓘ Bisected Axis of Semi Ellipsoid [a]			+10% -10%
✖Second Semi Axis of Semi Ellipsoid is the length of the segment of second cartesian coordinate axis from the center of the elliptical face of Semi Ellipsoid to its boundary edge.ⓘ Second Semi Axis of Semi Ellipsoid [b]			+10% -10%
✖Volume of Semi Ellipsoid is the amount of three dimensional space occupied by Semi Ellipsoid.ⓘ Volume of Semi Ellipsoid [V]			+10% -10%

✖Total Surface Area of Semi Ellipsoid is the total quantity of two dimensional space enclosed on the entire surface of the Semi Ellipsoid.ⓘ Total Surface Area of Semi Ellipsoid given Volume [TSA]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download 3D Geometry Formula PDF PDF Image

Total Surface Area of Semi Ellipsoid given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Semi Ellipsoid = ((2*pi*(((((Bisected Axis of Semi Ellipsoid*Second Semi Axis of Semi Ellipsoid)^(1.6075))+((Second Semi Axis of Semi Ellipsoid*((3*Volume of Semi Ellipsoid)/(2*pi*Second Semi Axis of Semi Ellipsoid*Bisected Axis of Semi Ellipsoid)))^(1.6075))+((Bisected Axis of Semi Ellipsoid*((3*Volume of Semi Ellipsoid)/(2*pi*Second Semi Axis of Semi Ellipsoid*Bisected Axis of Semi Ellipsoid)))^(1.6075)))/3)^(1/1.6075)))+(pi*Second Semi Axis of Semi Ellipsoid*((3*Volume of Semi Ellipsoid)/(2*pi*Second Semi Axis of Semi Ellipsoid*Bisected Axis of Semi Ellipsoid))))
TSA = ((2*pi*(((((a*b)^(1.6075))+((b*((3*V)/(2*pi*b*a)))^(1.6075))+((a*((3*V)/(2*pi*b*a)))^(1.6075)))/3)^(1/1.6075)))+(pi*b*((3*V)/(2*pi*b*a))))
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Total Surface Area of Semi Ellipsoid - (Measured in Square Meter) - Total Surface Area of Semi Ellipsoid is the total quantity of two dimensional space enclosed on the entire surface of the Semi Ellipsoid.
Bisected Axis of Semi Ellipsoid - (Measured in Meter) - Bisected Axis of Semi Ellipsoid is the half of the first axis which is bisected when Semi Ellipsoid is formed from the complete Ellipsoid.
Second Semi Axis of Semi Ellipsoid - (Measured in Meter) - Second Semi Axis of Semi Ellipsoid is the length of the segment of second cartesian coordinate axis from the center of the elliptical face of Semi Ellipsoid to its boundary edge.
Volume of Semi Ellipsoid - (Measured in Cubic Meter) - Volume of Semi Ellipsoid is the amount of three dimensional space occupied by Semi Ellipsoid.

STEP 1: Convert Input(s) to Base Unit

Bisected Axis of Semi Ellipsoid: 10 Meter --> 10 Meter No Conversion Required
Second Semi Axis of Semi Ellipsoid: 6 Meter --> 6 Meter No Conversion Required
Volume of Semi Ellipsoid: 500 Cubic Meter --> 500 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = ((2*pi*(((((a*b)^(1.6075))+((b*((3*V)/(2*pi*b*a)))^(1.6075))+((a*((3*V)/(2*pi*b*a)))^(1.6075)))/3)^(1/1.6075)))+(pi*b*((3*V)/(2*pi*b*a)))) --> ((2*pi*(((((10*6)^(1.6075))+((6*((3*500)/(2*pi*6*10)))^(1.6075))+((10*((3*500)/(2*pi*6*10)))^(1.6075)))/3)^(1/1.6075)))+(pi*6*((3*500)/(2*pi*6*10))))

Evaluating ... ...

TSA = 344.020044745083

STEP 3: Convert Result to Output's Unit

344.020044745083 Square Meter --> No Conversion Required

FINAL ANSWER

344.020044745083 ≈ 344.02 Square Meter <-- Total Surface Area of Semi Ellipsoid

(Calculation completed in 00.007 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Semi Ellipsoid » Surface Area of Semi Ellipsoid » Total Surface Area of Semi Ellipsoid » Total Surface Area of Semi Ellipsoid given Volume

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!

< Total Surface Area of Semi Ellipsoid Calculators

Total Surface Area of Semi Ellipsoid given Volume

LaTeX Go Total Surface Area of Semi Ellipsoid = ((2*pi*(((((Bisected Axis of Semi Ellipsoid*Second Semi Axis of Semi Ellipsoid)^(1.6075))+((Second Semi Axis of Semi Ellipsoid*((3*Volume of Semi Ellipsoid)/(2*pi*Second Semi Axis of Semi Ellipsoid*Bisected Axis of Semi Ellipsoid)))^(1.6075))+((Bisected Axis of Semi Ellipsoid*((3*Volume of Semi Ellipsoid)/(2*pi*Second Semi Axis of Semi Ellipsoid*Bisected Axis of Semi Ellipsoid)))^(1.6075)))/3)^(1/1.6075)))+(pi*Second Semi Axis of Semi Ellipsoid*((3*Volume of Semi Ellipsoid)/(2*pi*Second Semi Axis of Semi Ellipsoid*Bisected Axis of Semi Ellipsoid))))

Total Surface Area of Semi Ellipsoid given Bisected Axis

LaTeX Go Total Surface Area of Semi Ellipsoid = ((2*pi*(((((Bisected Axis of Semi Ellipsoid*((3*Volume of Semi Ellipsoid)/(2*pi*Bisected Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid)))^(1.6075))+((((3*Volume of Semi Ellipsoid)/(2*pi*Bisected Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid))*Third Semi Axis of Semi Ellipsoid)^(1.6075))+((Bisected Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid)^(1.6075)))/3)^(1/1.6075)))+(pi*((3*Volume of Semi Ellipsoid)/(2*pi*Bisected Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid))*Third Semi Axis of Semi Ellipsoid))

Total Surface Area of Semi Ellipsoid given Second and Third Semi Axis

LaTeX Go Total Surface Area of Semi Ellipsoid = ((2*pi*(((((((3*Volume of Semi Ellipsoid)/(2*pi*Second Semi Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid))*Second Semi Axis of Semi Ellipsoid)^(1.6075))+((Second Semi Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid)^(1.6075))+((((3*Volume of Semi Ellipsoid)/(2*pi*Second Semi Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid))*Third Semi Axis of Semi Ellipsoid)^(1.6075)))/3)^(1/1.6075)))+(pi*Second Semi Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid))

Total Surface Area of Semi Ellipsoid

LaTeX Go Total Surface Area of Semi Ellipsoid = ((2*pi*(((((Bisected Axis of Semi Ellipsoid*Second Semi Axis of Semi Ellipsoid)^(1.6075))+((Second Semi Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid)^(1.6075))+((Bisected Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid)^(1.6075)))/3)^(1/1.6075)))+(pi*Second Semi Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid))

Total Surface Area of Semi Ellipsoid given Volume Formula

LaTeX Go

What is Semi Ellipsoid?

Semi Ellipsoid (or hemi-ellipsoid, or half ellipsoid) is an ellipsoid, which is bisected at one axis along the other two axes. The surface area is calculated from half the approximation formula by Knud Thomsen, plus the area of the intersection ellipse.

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 Total Surface Area of Semi Ellipsoid given Volume?

Total Surface Area of Semi Ellipsoid given Volume calculator uses Total Surface Area of Semi Ellipsoid = ((2*pi*(((((Bisected Axis of Semi Ellipsoid*Second Semi Axis of Semi Ellipsoid)^(1.6075))+((Second Semi Axis of Semi Ellipsoid*((3*Volume of Semi Ellipsoid)/(2*pi*Second Semi Axis of Semi Ellipsoid*Bisected Axis of Semi Ellipsoid)))^(1.6075))+((Bisected Axis of Semi Ellipsoid*((3*Volume of Semi Ellipsoid)/(2*pi*Second Semi Axis of Semi Ellipsoid*Bisected Axis of Semi Ellipsoid)))^(1.6075)))/3)^(1/1.6075)))+(pi*Second Semi Axis of Semi Ellipsoid*((3*Volume of Semi Ellipsoid)/(2*pi*Second Semi Axis of Semi Ellipsoid*Bisected Axis of Semi Ellipsoid)))) to calculate the Total Surface Area of Semi Ellipsoid, The Total Surface Area of Semi Ellipsoid given Volume formula is defined as the total quantity of two-dimensional space enclosed on the entire surface of the Semi Ellipsoid, calculated using volume, bisected axis, and second semi axis. Total Surface Area of Semi Ellipsoid is denoted by TSA symbol.

How to calculate Total Surface Area of Semi Ellipsoid given Volume using this online calculator? To use this online calculator for Total Surface Area of Semi Ellipsoid given Volume, enter Bisected Axis of Semi Ellipsoid (a), Second Semi Axis of Semi Ellipsoid (b) & Volume of Semi Ellipsoid (V) and hit the calculate button. Here is how the Total Surface Area of Semi Ellipsoid given Volume calculation can be explained with given input values -> 344.02 = ((2*pi*(((((10*6)^(1.6075))+((6*((3*500)/(2*pi*6*10)))^(1.6075))+((10*((3*500)/(2*pi*6*10)))^(1.6075)))/3)^(1/1.6075)))+(pi*6*((3*500)/(2*pi*6*10)))).

FAQ

What is Total Surface Area of Semi Ellipsoid given Volume?

The Total Surface Area of Semi Ellipsoid given Volume formula is defined as the total quantity of two-dimensional space enclosed on the entire surface of the Semi Ellipsoid, calculated using volume, bisected axis, and second semi axis and is represented as TSA = ((2*pi*(((((a*b)^(1.6075))+((b*((3*V)/(2*pi*b*a)))^(1.6075))+((a*((3*V)/(2*pi*b*a)))^(1.6075)))/3)^(1/1.6075)))+(pi*b*((3*V)/(2*pi*b*a)))) or Total Surface Area of Semi Ellipsoid = ((2*pi*(((((Bisected Axis of Semi Ellipsoid*Second Semi Axis of Semi Ellipsoid)^(1.6075))+((Second Semi Axis of Semi Ellipsoid*((3*Volume of Semi Ellipsoid)/(2*pi*Second Semi Axis of Semi Ellipsoid*Bisected Axis of Semi Ellipsoid)))^(1.6075))+((Bisected Axis of Semi Ellipsoid*((3*Volume of Semi Ellipsoid)/(2*pi*Second Semi Axis of Semi Ellipsoid*Bisected Axis of Semi Ellipsoid)))^(1.6075)))/3)^(1/1.6075)))+(pi*Second Semi Axis of Semi Ellipsoid*((3*Volume of Semi Ellipsoid)/(2*pi*Second Semi Axis of Semi Ellipsoid*Bisected Axis of Semi Ellipsoid)))). Bisected Axis of Semi Ellipsoid is the half of the first axis which is bisected when Semi Ellipsoid is formed from the complete Ellipsoid, Second Semi Axis of Semi Ellipsoid is the length of the segment of second cartesian coordinate axis from the center of the elliptical face of Semi Ellipsoid to its boundary edge & Volume of Semi Ellipsoid is the amount of three dimensional space occupied by Semi Ellipsoid.

How to calculate Total Surface Area of Semi Ellipsoid given Volume?

The Total Surface Area of Semi Ellipsoid given Volume formula is defined as the total quantity of two-dimensional space enclosed on the entire surface of the Semi Ellipsoid, calculated using volume, bisected axis, and second semi axis is calculated using Total Surface Area of Semi Ellipsoid = ((2*pi*(((((Bisected Axis of Semi Ellipsoid*Second Semi Axis of Semi Ellipsoid)^(1.6075))+((Second Semi Axis of Semi Ellipsoid*((3*Volume of Semi Ellipsoid)/(2*pi*Second Semi Axis of Semi Ellipsoid*Bisected Axis of Semi Ellipsoid)))^(1.6075))+((Bisected Axis of Semi Ellipsoid*((3*Volume of Semi Ellipsoid)/(2*pi*Second Semi Axis of Semi Ellipsoid*Bisected Axis of Semi Ellipsoid)))^(1.6075)))/3)^(1/1.6075)))+(pi*Second Semi Axis of Semi Ellipsoid*((3*Volume of Semi Ellipsoid)/(2*pi*Second Semi Axis of Semi Ellipsoid*Bisected Axis of Semi Ellipsoid)))). To calculate Total Surface Area of Semi Ellipsoid given Volume, you need Bisected Axis of Semi Ellipsoid (a), Second Semi Axis of Semi Ellipsoid (b) & Volume of Semi Ellipsoid (V). With our tool, you need to enter the respective value for Bisected Axis of Semi Ellipsoid, Second Semi Axis of Semi Ellipsoid & Volume of Semi 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 Total Surface Area of Semi Ellipsoid?

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

Total Surface Area of Semi Ellipsoid = ((2*pi*(((((Bisected Axis of Semi Ellipsoid*Second Semi Axis of Semi Ellipsoid)^(1.6075))+((Second Semi Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid)^(1.6075))+((Bisected Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid)^(1.6075)))/3)^(1/1.6075)))+(pi*Second Semi Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid))
Total Surface Area of Semi Ellipsoid = ((2*pi*(((((((3*Volume of Semi Ellipsoid)/(2*pi*Second Semi Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid))*Second Semi Axis of Semi Ellipsoid)^(1.6075))+((Second Semi Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid)^(1.6075))+((((3*Volume of Semi Ellipsoid)/(2*pi*Second Semi Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid))*Third Semi Axis of Semi Ellipsoid)^(1.6075)))/3)^(1/1.6075)))+(pi*Second Semi Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid))
Total Surface Area of Semi Ellipsoid = ((2*pi*(((((Bisected Axis of Semi Ellipsoid*((3*Volume of Semi Ellipsoid)/(2*pi*Bisected Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid)))^(1.6075))+((((3*Volume of Semi Ellipsoid)/(2*pi*Bisected Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid))*Third Semi Axis of Semi Ellipsoid)^(1.6075))+((Bisected Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid)^(1.6075)))/3)^(1/1.6075)))+(pi*((3*Volume of Semi Ellipsoid)/(2*pi*Bisected Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid))*Third Semi Axis of Semi Ellipsoid))

Home

FREE PDFs

🔍 Search