Total Surface Area of Elliptic Cylinder Calculator

✖Semi Minor Axis of Elliptic Cylinder is the half of the length of the longest chord which is perpendicular to the line joining the foci of the elliptic face of the Elliptic Cylinder.ⓘ Semi Minor Axis of Elliptic Cylinder [b]			+10% -10%
✖Semi Major Axis of Elliptic Cylinder is the longest radius of elliptic face, as it begins in the center of the elliptic face, follows the major axis, and ends at the furthest edge-point.ⓘ Semi Major Axis of Elliptic Cylinder [a]			+10% -10%
✖Height of Elliptic Cylinder is the vertical distance from the bottom elliptical face to the top of the Elliptic Cylinder.ⓘ Height of Elliptic Cylinder [h]			+10% -10%

✖Total Surface Area of Elliptic Cylinder is the total quantity of plane enclosed on the entire surface of the Elliptic Cylinder.ⓘ Total Surface Area of Elliptic Cylinder [TSA]

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Total Surface Area of Elliptic Cylinder Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Elliptic Cylinder = pi*(((Semi Minor Axis of Elliptic Cylinder+Semi Major Axis of Elliptic Cylinder)*Height of Elliptic Cylinder)+(2*Semi Minor Axis of Elliptic Cylinder*Semi Major Axis of Elliptic Cylinder))
TSA = pi*(((b+a)*h)+(2*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 Elliptic Cylinder - (Measured in Square Meter) - Total Surface Area of Elliptic Cylinder is the total quantity of plane enclosed on the entire surface of the Elliptic Cylinder.
Semi Minor Axis of Elliptic Cylinder - (Measured in Meter) - Semi Minor Axis of Elliptic Cylinder is the half of the length of the longest chord which is perpendicular to the line joining the foci of the elliptic face of the Elliptic Cylinder.
Semi Major Axis of Elliptic Cylinder - (Measured in Meter) - Semi Major Axis of Elliptic Cylinder is the longest radius of elliptic face, as it begins in the center of the elliptic face, follows the major axis, and ends at the furthest edge-point.
Height of Elliptic Cylinder - (Measured in Meter) - Height of Elliptic Cylinder is the vertical distance from the bottom elliptical face to the top of the Elliptic Cylinder.

STEP 1: Convert Input(s) to Base Unit

Semi Minor Axis of Elliptic Cylinder: 2 Meter --> 2 Meter No Conversion Required
Semi Major Axis of Elliptic Cylinder: 4 Meter --> 4 Meter No Conversion Required
Height of Elliptic Cylinder: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = pi*(((b+a)*h)+(2*b*a)) --> pi*(((2+4)*5)+(2*2*4))

Evaluating ... ...

TSA = 144.51326206513

STEP 3: Convert Result to Output's Unit

144.51326206513 Square Meter --> No Conversion Required

FINAL ANSWER

144.51326206513 ≈ 144.5133 Square Meter <-- Total Surface Area of Elliptic Cylinder

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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< Total Surface Area of Elliptic Cylinder Calculators

Total Surface Area of Elliptic Cylinder given Lateral Surface Area and Semi Major Axis

LaTeX Go Total Surface Area of Elliptic Cylinder = Lateral Surface Area of Elliptic Cylinder+(2*pi*Semi Major Axis of Elliptic Cylinder*(Lateral Surface Area of Elliptic Cylinder/(pi*Height of Elliptic Cylinder)-Semi Major Axis of Elliptic Cylinder))

Total Surface Area of Elliptic Cylinder

LaTeX Go Total Surface Area of Elliptic Cylinder = pi*(((Semi Minor Axis of Elliptic Cylinder+Semi Major Axis of Elliptic Cylinder)*Height of Elliptic Cylinder)+(2*Semi Minor Axis of Elliptic Cylinder*Semi Major Axis of Elliptic Cylinder))

Total Surface Area of Elliptic Cylinder given Volume and Semi Major Axis

LaTeX Go Total Surface Area of Elliptic Cylinder = Lateral Surface Area of Elliptic Cylinder+(2*pi*Volume of Elliptic Cylinder/(pi*Height of Elliptic Cylinder))

Total Surface Area of Elliptic Cylinder given Volume and Semi Minor Axis

LaTeX Go Total Surface Area of Elliptic Cylinder = Lateral Surface Area of Elliptic Cylinder+(2*pi*Volume of Elliptic Cylinder/(pi*Height of Elliptic Cylinder))

< Important Formulas of Elliptic Cylinder Calculators

Height of Elliptic Cylinder

LaTeX Go Height of Elliptic Cylinder = Lateral Surface Area of Elliptic Cylinder/(pi*(Semi Minor Axis of Elliptic Cylinder+Semi Major Axis of Elliptic Cylinder))

Lateral Surface Area of Elliptic Cylinder

LaTeX Go Lateral Surface Area of Elliptic Cylinder = pi*(Semi Minor Axis of Elliptic Cylinder+Semi Major Axis of Elliptic Cylinder)*Height of Elliptic Cylinder

Semi Major Axis of Elliptic Cylinder given Volume

LaTeX Go Semi Major Axis of Elliptic Cylinder = Volume of Elliptic Cylinder/(pi*Height of Elliptic Cylinder*Semi Minor Axis of Elliptic Cylinder)

Semi Minor Axis of Elliptic Cylinder given Volume

LaTeX Go Semi Minor Axis of Elliptic Cylinder = Volume of Elliptic Cylinder/(pi*Height of Elliptic Cylinder*Semi Major Axis of Elliptic Cylinder)

Total Surface Area of Elliptic Cylinder Formula

LaTeX Go

What is Elliptic Cylinder?

Elliptic Cylinder is a cylinder with an elliptical cross section. It is a quadratic ruled surface. It is a cylinder with an ellipse as directrix.

How to Calculate Total Surface Area of Elliptic Cylinder?

Total Surface Area of Elliptic Cylinder calculator uses Total Surface Area of Elliptic Cylinder = pi*(((Semi Minor Axis of Elliptic Cylinder+Semi Major Axis of Elliptic Cylinder)*Height of Elliptic Cylinder)+(2*Semi Minor Axis of Elliptic Cylinder*Semi Major Axis of Elliptic Cylinder)) to calculate the Total Surface Area of Elliptic Cylinder, Total Surface Area of Elliptic Cylinder formula is defined as the total quantity of plane enclosed on the entire surface of the Elliptic Cylinder. Total Surface Area of Elliptic Cylinder is denoted by TSA symbol.

How to calculate Total Surface Area of Elliptic Cylinder using this online calculator? To use this online calculator for Total Surface Area of Elliptic Cylinder, enter Semi Minor Axis of Elliptic Cylinder (b), Semi Major Axis of Elliptic Cylinder (a) & Height of Elliptic Cylinder (h) and hit the calculate button. Here is how the Total Surface Area of Elliptic Cylinder calculation can be explained with given input values -> 144.5133 = pi*(((2+4)*5)+(2*2*4)).

FAQ

What is Total Surface Area of Elliptic Cylinder?

Total Surface Area of Elliptic Cylinder formula is defined as the total quantity of plane enclosed on the entire surface of the Elliptic Cylinder and is represented as TSA = pi*(((b+a)*h)+(2*b*a)) or Total Surface Area of Elliptic Cylinder = pi*(((Semi Minor Axis of Elliptic Cylinder+Semi Major Axis of Elliptic Cylinder)*Height of Elliptic Cylinder)+(2*Semi Minor Axis of Elliptic Cylinder*Semi Major Axis of Elliptic Cylinder)). Semi Minor Axis of Elliptic Cylinder is the half of the length of the longest chord which is perpendicular to the line joining the foci of the elliptic face of the Elliptic Cylinder, Semi Major Axis of Elliptic Cylinder is the longest radius of elliptic face, as it begins in the center of the elliptic face, follows the major axis, and ends at the furthest edge-point & Height of Elliptic Cylinder is the vertical distance from the bottom elliptical face to the top of the Elliptic Cylinder.

How to calculate Total Surface Area of Elliptic Cylinder?

Total Surface Area of Elliptic Cylinder formula is defined as the total quantity of plane enclosed on the entire surface of the Elliptic Cylinder is calculated using Total Surface Area of Elliptic Cylinder = pi*(((Semi Minor Axis of Elliptic Cylinder+Semi Major Axis of Elliptic Cylinder)*Height of Elliptic Cylinder)+(2*Semi Minor Axis of Elliptic Cylinder*Semi Major Axis of Elliptic Cylinder)). To calculate Total Surface Area of Elliptic Cylinder, you need Semi Minor Axis of Elliptic Cylinder (b), Semi Major Axis of Elliptic Cylinder (a) & Height of Elliptic Cylinder (h). With our tool, you need to enter the respective value for Semi Minor Axis of Elliptic Cylinder, Semi Major Axis of Elliptic Cylinder & Height of Elliptic Cylinder 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 Elliptic Cylinder?

In this formula, Total Surface Area of Elliptic Cylinder uses Semi Minor Axis of Elliptic Cylinder, Semi Major Axis of Elliptic Cylinder & Height of Elliptic Cylinder. We can use 3 other way(s) to calculate the same, which is/are as follows -

Total Surface Area of Elliptic Cylinder = Lateral Surface Area of Elliptic Cylinder+(2*pi*Volume of Elliptic Cylinder/(pi*Height of Elliptic Cylinder))
Total Surface Area of Elliptic Cylinder = Lateral Surface Area of Elliptic Cylinder+(2*pi*Volume of Elliptic Cylinder/(pi*Height of Elliptic Cylinder))
Total Surface Area of Elliptic Cylinder = Lateral Surface Area of Elliptic Cylinder+(2*pi*Semi Major Axis of Elliptic Cylinder*(Lateral Surface Area of Elliptic Cylinder/(pi*Height of Elliptic Cylinder)-Semi Major Axis of Elliptic Cylinder))

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