Lateral Surface Area of Elliptic Cylinder given Volume and Semi Major Axis Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
LSA = pi*h*(a+V/(pi*h*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.
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.
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
Height of Elliptic Cylinder: 5 Meter --> 5 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*h*(a+V/(pi*h*a)) --> pi*5*(4+125/(pi*5*4))
Evaluating ... ...
LSA = 94.0818530717959
STEP 3: Convert Result to Output's Unit
94.0818530717959 Square Meter --> No Conversion Required
FINAL ANSWER
94.0818530717959 94.08185 Square Meter <-- Lateral Surface Area of Elliptic Cylinder
(Calculation completed in 00.004 seconds)

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6 Lateral Surface Area of Elliptic Cylinder Calculators

Lateral Surface Area of Elliptic Cylinder given Volume
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)
Lateral Surface Area of Elliptic Cylinder given Volume and Semi Minor Axis
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
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
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 given Total Surface Area
Go Lateral Surface Area of Elliptic Cylinder = Total Surface Area of Elliptic Cylinder-(2*pi*Semi Minor Axis of Elliptic Cylinder*Semi Major Axis of Elliptic Cylinder)
Lateral Surface Area of Elliptic Cylinder
Go 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 given Volume and Semi Major Axis Formula

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))
LSA = pi*h*(a+V/(pi*h*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 and Semi Major Axis?

Lateral Surface Area of Elliptic Cylinder given Volume and Semi Major Axis calculator uses 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)) to calculate the Lateral Surface Area of Elliptic Cylinder, Lateral Surface Area of Elliptic Cylinder given Volume and Semi Major Axis formula is defined as the total quantity of plane enclosed on the lateral curved surface of the Elliptic Cylinder and is calculated using the volume, semi-major axis, and height 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 and Semi Major Axis using this online calculator? To use this online calculator for Lateral Surface Area of Elliptic Cylinder given Volume and Semi Major Axis, enter Height of Elliptic Cylinder (h), 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 and Semi Major Axis calculation can be explained with given input values -> 94.08185 = pi*5*(4+125/(pi*5*4)).

FAQ

What is Lateral Surface Area of Elliptic Cylinder given Volume and Semi Major Axis?
Lateral Surface Area of Elliptic Cylinder given Volume and Semi Major Axis formula is defined as the total quantity of plane enclosed on the lateral curved surface of the Elliptic Cylinder and is calculated using the volume, semi-major axis, and height of the Elliptic Cylinder and is represented as LSA = pi*h*(a+V/(pi*h*a)) or 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)). Height of Elliptic Cylinder is the vertical distance from the bottom elliptical face to the top 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 and Semi Major Axis?
Lateral Surface Area of Elliptic Cylinder given Volume and Semi Major Axis formula is defined as the total quantity of plane enclosed on the lateral curved surface of the Elliptic Cylinder and is calculated using the volume, semi-major axis, and height of the Elliptic Cylinder is calculated using 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)). To calculate Lateral Surface Area of Elliptic Cylinder given Volume and Semi Major Axis, you need Height of Elliptic Cylinder (h), Semi Major Axis of Elliptic Cylinder (a) & Volume of Elliptic Cylinder (V). With our tool, you need to enter the respective value for Height 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 Height of Elliptic Cylinder, Semi Major Axis of Elliptic Cylinder & Volume of Elliptic Cylinder. We can use 5 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))
  • 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)
  • Lateral Surface Area of Elliptic Cylinder = Total Surface Area of Elliptic Cylinder-(2*pi*Semi Minor Axis of Elliptic Cylinder*Semi Major Axis of Elliptic Cylinder)
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