Lateral Surface Area of Elliptic Cylinder given Volume Solution

STEP 0: Pre-Calculation Summary
Formula Used
Lateral Surface Area of Elliptic Cylinder = pi*(Semi Minor Axis of Elliptic Cylinder+Semi Major Axis of Elliptic Cylinder)*Volume of Elliptic Cylinder/(pi*Semi Minor Axis of Elliptic Cylinder*Semi Major Axis of Elliptic Cylinder)
LSA = pi*(b+a)*V/(pi*b*a)
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Lateral Surface Area of Elliptic Cylinder - (Measured in Square Meter) - Lateral Surface Area of Elliptic Cylinder is the total quantity of plane enclosed on the lateral curved 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.
Volume of Elliptic Cylinder - (Measured in Cubic Meter) - Volume of Elliptic Cylinder is the total quantity of three dimensional space enclosed by the entire surface 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
Volume of Elliptic Cylinder: 125 Cubic Meter --> 125 Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
LSA = pi*(b+a)*V/(pi*b*a) --> pi*(2+4)*125/(pi*2*4)
Evaluating ... ...
LSA = 93.75
STEP 3: Convert Result to Output's Unit
93.75 Square Meter --> No Conversion Required
FINAL ANSWER
93.75 Square Meter <-- Lateral Surface Area of Elliptic Cylinder
(Calculation completed in 00.004 seconds)

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Lateral Surface Area of Elliptic Cylinder Calculators

Lateral Surface Area of Elliptic Cylinder given Volume and Semi Minor Axis
​ LaTeX ​ Go Lateral Surface Area of Elliptic Cylinder = pi*Height of Elliptic Cylinder*(Semi Minor Axis of Elliptic Cylinder+Volume of Elliptic Cylinder/(pi*Height of Elliptic Cylinder*Semi Minor Axis of Elliptic Cylinder))
Lateral Surface Area of Elliptic Cylinder given Volume and Semi Major Axis
​ LaTeX ​ Go Lateral Surface Area of Elliptic Cylinder = pi*Height of Elliptic Cylinder*(Semi Major Axis of Elliptic Cylinder+Volume of Elliptic Cylinder/(pi*Height of Elliptic Cylinder*Semi Major Axis of Elliptic Cylinder))
Lateral Surface Area of Elliptic Cylinder given Surface to Volume Ratio
​ LaTeX ​ Go Lateral Surface Area of Elliptic Cylinder = pi*Semi Major Axis of Elliptic Cylinder*Semi Minor Axis of Elliptic Cylinder*((Surface to Volume Ratio of Elliptic Cylinder*Height of Elliptic Cylinder)-2)
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

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)

Lateral Surface Area of Elliptic Cylinder given Volume Formula

​LaTeX ​Go
Lateral Surface Area of Elliptic Cylinder = pi*(Semi Minor Axis of Elliptic Cylinder+Semi Major Axis of Elliptic Cylinder)*Volume of Elliptic Cylinder/(pi*Semi Minor Axis of Elliptic Cylinder*Semi Major Axis of Elliptic Cylinder)
LSA = pi*(b+a)*V/(pi*b*a)

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 Lateral Surface Area of Elliptic Cylinder given Volume?

Lateral Surface Area of Elliptic Cylinder given Volume calculator uses Lateral Surface Area of Elliptic Cylinder = pi*(Semi Minor Axis of Elliptic Cylinder+Semi Major Axis of Elliptic Cylinder)*Volume of Elliptic Cylinder/(pi*Semi Minor Axis of Elliptic Cylinder*Semi Major Axis of Elliptic Cylinder) to calculate the Lateral Surface Area of Elliptic Cylinder, Lateral Surface Area of Elliptic Cylinder given Volume formula is defined as the total quantity of plane enclosed on the lateral curved surface of the Elliptic Cylinder and is calculated using semi-minor axis, semi-major axis, and volume of the Elliptic Cylinder. Lateral Surface Area of Elliptic Cylinder is denoted by LSA symbol.

How to calculate Lateral Surface Area of Elliptic Cylinder given Volume using this online calculator? To use this online calculator for Lateral Surface Area of Elliptic Cylinder given Volume, enter Semi Minor Axis of Elliptic Cylinder (b), Semi Major Axis of Elliptic Cylinder (a) & Volume of Elliptic Cylinder (V) and hit the calculate button. Here is how the Lateral Surface Area of Elliptic Cylinder given Volume calculation can be explained with given input values -> 93.75 = pi*(2+4)*125/(pi*2*4).

FAQ

What is Lateral Surface Area of Elliptic Cylinder given Volume?
Lateral Surface Area of Elliptic Cylinder given Volume formula is defined as the total quantity of plane enclosed on the lateral curved surface of the Elliptic Cylinder and is calculated using semi-minor axis, semi-major axis, and volume of the Elliptic Cylinder and is represented as LSA = pi*(b+a)*V/(pi*b*a) or Lateral Surface Area of Elliptic Cylinder = pi*(Semi Minor Axis of Elliptic Cylinder+Semi Major Axis of Elliptic Cylinder)*Volume of Elliptic Cylinder/(pi*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 & Volume of Elliptic Cylinder is the total quantity of three dimensional space enclosed by the entire surface of the Elliptic Cylinder.
How to calculate Lateral Surface Area of Elliptic Cylinder given Volume?
Lateral Surface Area of Elliptic Cylinder given Volume formula is defined as the total quantity of plane enclosed on the lateral curved surface of the Elliptic Cylinder and is calculated using semi-minor axis, semi-major axis, and volume of the Elliptic Cylinder is calculated using Lateral Surface Area of Elliptic Cylinder = pi*(Semi Minor Axis of Elliptic Cylinder+Semi Major Axis of Elliptic Cylinder)*Volume of Elliptic Cylinder/(pi*Semi Minor Axis of Elliptic Cylinder*Semi Major Axis of Elliptic Cylinder). To calculate Lateral Surface Area of Elliptic Cylinder given Volume, you need Semi Minor Axis of Elliptic Cylinder (b), Semi Major Axis of Elliptic Cylinder (a) & Volume of Elliptic Cylinder (V). With our tool, you need to enter the respective value for Semi Minor Axis of Elliptic Cylinder, Semi Major Axis of Elliptic Cylinder & Volume 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 Lateral Surface Area of Elliptic Cylinder?
In this formula, Lateral Surface Area of Elliptic Cylinder uses Semi Minor Axis of Elliptic Cylinder, Semi Major Axis of Elliptic Cylinder & Volume of Elliptic Cylinder. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Lateral Surface Area of Elliptic Cylinder = pi*(Semi Minor Axis of Elliptic Cylinder+Semi Major Axis of Elliptic Cylinder)*Height of Elliptic Cylinder
  • Lateral Surface Area of Elliptic Cylinder = pi*Semi Major Axis of Elliptic Cylinder*Semi Minor Axis of Elliptic Cylinder*((Surface to Volume Ratio of Elliptic Cylinder*Height of Elliptic Cylinder)-2)
  • Lateral Surface Area of Elliptic Cylinder = pi*Height of Elliptic Cylinder*(Semi Minor Axis of Elliptic Cylinder+Volume of Elliptic Cylinder/(pi*Height of Elliptic Cylinder*Semi Minor Axis of Elliptic Cylinder))
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