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Total Surface Area of Elliptic Cylinder is the total quantity of plane enclosed on the entire surface of the Elliptic Cylinder. Check FAQs
TSA=LSA+(2⋅π⋅a⋅(LSAπ⋅h-a))
TSA - Total Surface Area of Elliptic Cylinder?LSA - Lateral Surface Area of Elliptic Cylinder?a - Semi Major Axis of Elliptic Cylinder?h - Height of Elliptic Cylinder?π - Archimedes' constant?

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

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Here is how the Total Surface Area of Elliptic Cylinder given Lateral Surface Area and Semi Major Axis equation looks like with Values.

Here is how the Total Surface Area of Elliptic Cylinder given Lateral Surface Area and Semi Major Axis equation looks like with Units.

Here is how the Total Surface Area of Elliptic Cylinder given Lateral Surface Area and Semi Major Axis equation looks like.

146.469Edit=95Edit+(2⋅3.1416⋅4Edit⋅(95Edit3.1416⋅5Edit-4Edit))
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Total Surface Area of Elliptic Cylinder given Lateral Surface Area and Semi Major Axis Solution

Follow our step by step solution on how to calculate Total Surface Area of Elliptic Cylinder given Lateral Surface Area and Semi Major Axis?

FIRST Step Consider the formula
TSA=LSA+(2⋅π⋅a⋅(LSAπ⋅h-a))
Next Step Substitute values of Variables
∴ TSA=95m²+(2⋅π⋅4m⋅(95m²π⋅5m-4m))
Next Step Substitute values of Constants
∴ TSA=95m²+(2⋅3.1416⋅4m⋅(95m²3.1416⋅5m-4m))
Next Step Prepare to Evaluate
∴ TSA=95+(2⋅3.1416⋅4⋅(953.1416⋅5-4))
Next Step Evaluate
∴TSA=146.469035085127m²
LAST Step Rounding Answer
∴TSA=146.469m²

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

Variables
Constants
Total Surface Area of Elliptic Cylinder
Total Surface Area of Elliptic Cylinder is the total quantity of plane enclosed on the entire surface of the Elliptic Cylinder.
Symbol: TSA
Measurement: AreaUnit: m²
Note: Value should be greater than 0.
Formulas to find Total Surface Area of Elliptic CylinderOpen Variable
Lateral Surface Area of Elliptic Cylinder
Lateral Surface Area of Elliptic Cylinder is the total quantity of plane enclosed on the lateral curved surface of the Elliptic Cylinder.
Symbol: LSA
Measurement: AreaUnit: m²
Note: Value should be greater than 0.
Formulas to find Lateral Surface Area of Elliptic CylinderOpen Variable
Semi Major Axis of 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.
Symbol: a
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Semi Major Axis of Elliptic CylinderOpen Variable
Height of Elliptic Cylinder
Height of Elliptic Cylinder is the vertical distance from the bottom elliptical face to the top of the Elliptic Cylinder.
Symbol: h
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Height of Elliptic CylinderOpen Variable
Archimedes' constant
Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.
Symbol: π
Value: 3.14159265358979323846264338327950288

Other Formulas to find Total Surface Area of Elliptic Cylinder

​Go Total Surface Area of Elliptic Cylinder
TSA=π⋅(((b+a)⋅h)+(2⋅b⋅a))
​Go Total Surface Area of Elliptic Cylinder given Volume and Semi Major Axis
TSA=LSA+(2⋅π⋅Vπ⋅h)
​Go Total Surface Area of Elliptic Cylinder given Volume and Semi Minor Axis
TSA=LSA+(2⋅π⋅Vπ⋅h)
​Go Total Surface Area of Elliptic Cylinder given Lateral Surface Area and Semi Minor Axis
TSA=LSA+(2⋅π⋅b⋅(LSAπ⋅h-b))

How to Evaluate Total Surface Area of Elliptic Cylinder given Lateral Surface Area and Semi Major Axis?

Total Surface Area of Elliptic Cylinder given Lateral Surface Area and Semi Major Axis evaluator uses 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)) to evaluate the Total Surface Area of Elliptic Cylinder, Total Surface Area of Elliptic Cylinder given Lateral Surface Area and Semi Major Axis formula is defined as the total quantity of plane enclosed on the entire surface of the Elliptic Cylinder and is calculated using the semi-major axis, height, and lateral surface area of the Elliptic Cylinder. Total Surface Area of Elliptic Cylinder is denoted by TSA symbol.

How to evaluate Total Surface Area of Elliptic Cylinder given Lateral Surface Area and Semi Major Axis using this online evaluator? To use this online evaluator for Total Surface Area of Elliptic Cylinder given Lateral Surface Area and Semi Major Axis, enter Lateral Surface Area of Elliptic Cylinder (LSA), Semi Major Axis of Elliptic Cylinder (a) & Height of Elliptic Cylinder (h) and hit the calculate button.

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

What is the formula to find Total Surface Area of Elliptic Cylinder given Lateral Surface Area and Semi Major Axis?
The formula of Total Surface Area of Elliptic Cylinder given Lateral Surface Area and Semi Major Axis is expressed as 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)). Here is an example- 146.469 = 95+(2*pi*4*(95/(pi*5)-4)).
How to calculate Total Surface Area of Elliptic Cylinder given Lateral Surface Area and Semi Major Axis?
With Lateral Surface Area of Elliptic Cylinder (LSA), Semi Major Axis of Elliptic Cylinder (a) & Height of Elliptic Cylinder (h) we can find Total Surface Area of Elliptic Cylinder given Lateral Surface Area and Semi Major Axis using the formula - 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)). This formula also uses Archimedes' constant .
What are the other ways to Calculate Total Surface Area of Elliptic Cylinder?
Here are the different ways to Calculate Total Surface Area of Elliptic Cylinder-
  • 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))OpenImg
  • Total Surface Area of Elliptic Cylinder=Lateral Surface Area of Elliptic Cylinder+(2*pi*Volume of Elliptic Cylinder/(pi*Height of Elliptic Cylinder))OpenImg
  • Total Surface Area of Elliptic Cylinder=Lateral Surface Area of Elliptic Cylinder+(2*pi*Volume of Elliptic Cylinder/(pi*Height of Elliptic Cylinder))OpenImg
Can the Total Surface Area of Elliptic Cylinder given Lateral Surface Area and Semi Major Axis be negative?
No, the Total Surface Area of Elliptic Cylinder given Lateral Surface Area and Semi Major Axis, measured in Area cannot be negative.
Which unit is used to measure Total Surface Area of Elliptic Cylinder given Lateral Surface Area and Semi Major Axis?
Total Surface Area of Elliptic Cylinder given Lateral Surface Area and Semi Major Axis is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Total Surface Area of Elliptic Cylinder given Lateral Surface Area and Semi Major Axis can be measured.
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