Total Surface Area of Semi Ellipsoid 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%
✖Third Semi Axis of Semi Ellipsoid is the length of the segment of third cartesian coordinate axis from the center of the elliptical face of Semi Ellipsoid to its boundary edge.ⓘ Third Semi Axis of Semi Ellipsoid [c]			+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 [TSA]

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Formula

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Total Surface Area of Semi Ellipsoid

Formula

`"TSA" = ((2*pi*((((("a"*"b")^(1.6075))+(("b"*"c")^(1.6075))+(("a"*"c")^(1.6075)))/3)^(1/1.6075)))+(pi*"b"*"c"))`

Example

`"345.0282m²"=((2*pi*((((("10m"*"6m")^(1.6075))+(("6m"*"4m")^(1.6075))+(("10m"*"4m")^(1.6075)))/3)^(1/1.6075)))+(pi*"6m"*"4m"))`

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Total Surface Area of Semi Ellipsoid 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*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))
TSA = ((2*pi*(((((a*b)^(1.6075))+((b*c)^(1.6075))+((a*c)^(1.6075)))/3)^(1/1.6075)))+(pi*b*c))
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.
Third Semi Axis of Semi Ellipsoid - (Measured in Meter) - Third Semi Axis of Semi Ellipsoid is the length of the segment of third cartesian coordinate axis from the center of the elliptical face of Semi Ellipsoid to its boundary edge.

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
Third Semi Axis of Semi Ellipsoid: 4 Meter --> 4 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = ((2*pi*(((((a*b)^(1.6075))+((b*c)^(1.6075))+((a*c)^(1.6075)))/3)^(1/1.6075)))+(pi*b*c)) --> ((2*pi*(((((10*6)^(1.6075))+((6*4)^(1.6075))+((10*4)^(1.6075)))/3)^(1/1.6075)))+(pi*6*4))

Evaluating ... ...

TSA = 345.02819727448

STEP 3: Convert Result to Output's Unit

345.02819727448 Square Meter --> No Conversion Required

FINAL ANSWER

345.02819727448 ≈ 345.0282 Square Meter <-- Total Surface Area of Semi Ellipsoid

(Calculation completed in 00.004 seconds)

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< 4 Total Surface Area of Semi Ellipsoid Calculators

Total Surface Area of Semi Ellipsoid given Volume

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

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

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

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 Formula

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?

Total Surface Area of Semi Ellipsoid 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*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)) to calculate the Total Surface Area of Semi Ellipsoid, The Total Surface Area of Semi Ellipsoid formula is defined as the total quantity of two dimensional space enclosed on the entire surface of the Semi Ellipsoid. Total Surface Area of Semi Ellipsoid is denoted by TSA symbol.

How to calculate Total Surface Area of Semi Ellipsoid using this online calculator? To use this online calculator for Total Surface Area of Semi Ellipsoid, enter Bisected Axis of Semi Ellipsoid (a), Second Semi Axis of Semi Ellipsoid (b) & Third Semi Axis of Semi Ellipsoid (c) and hit the calculate button. Here is how the Total Surface Area of Semi Ellipsoid calculation can be explained with given input values -> 345.0282 = ((2*pi*(((((10*6)^(1.6075))+((6*4)^(1.6075))+((10*4)^(1.6075)))/3)^(1/1.6075)))+(pi*6*4)).

FAQ

What is Total Surface Area of Semi Ellipsoid?

The Total Surface Area of Semi Ellipsoid formula is defined as the total quantity of two dimensional space enclosed on the entire surface of the Semi Ellipsoid and is represented as TSA = ((2*pi*(((((a*b)^(1.6075))+((b*c)^(1.6075))+((a*c)^(1.6075)))/3)^(1/1.6075)))+(pi*b*c)) 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*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)). 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 & Third Semi Axis of Semi Ellipsoid is the length of the segment of third cartesian coordinate axis from the center of the elliptical face of Semi Ellipsoid to its boundary edge.

How to calculate Total Surface Area of Semi Ellipsoid?

The Total Surface Area of Semi Ellipsoid formula is defined as the total quantity of two dimensional space enclosed on the entire surface of the Semi Ellipsoid 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*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)). To calculate Total Surface Area of Semi Ellipsoid, you need Bisected Axis of Semi Ellipsoid (a), Second Semi Axis of Semi Ellipsoid (b) & Third Semi Axis of Semi Ellipsoid (c). With our tool, you need to enter the respective value for Bisected Axis of Semi Ellipsoid, Second Semi Axis of Semi Ellipsoid & Third Semi Axis 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 & Third Semi Axis 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*(((((((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))
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))))

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