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

STEP 0: Pre-Calculation Summary
Formula Used
Volume of Elliptic Cylinder = pi*Height of Elliptic Cylinder*Semi Major Axis of Elliptic Cylinder*((Total Surface Area of Elliptic Cylinder-Lateral Surface Area of Elliptic Cylinder)/(2*pi*Semi Major Axis of Elliptic Cylinder))
V = pi*h*a*((TSA-LSA)/(2*pi*a))
This formula uses 1 Constants, 5 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
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.
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.
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.
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.
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
Total Surface Area of Elliptic Cylinder: 145 Square Meter --> 145 Square Meter No Conversion Required
Lateral Surface Area of Elliptic Cylinder: 95 Square Meter --> 95 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = pi*h*a*((TSA-LSA)/(2*pi*a)) --> pi*5*4*((145-95)/(2*pi*4))
Evaluating ... ...
V = 125
STEP 3: Convert Result to Output's Unit
125 Cubic Meter --> No Conversion Required
FINAL ANSWER
125 Cubic Meter <-- Volume of Elliptic Cylinder
(Calculation completed in 00.004 seconds)

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Walchand College of Engineering (WCE), Sangli
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6 Volume of Elliptic Cylinder Calculators

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

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

Volume of Elliptic Cylinder = pi*Height of Elliptic Cylinder*Semi Major Axis of Elliptic Cylinder*((Total Surface Area of Elliptic Cylinder-Lateral Surface Area of Elliptic Cylinder)/(2*pi*Semi Major Axis of Elliptic Cylinder))
V = pi*h*a*((TSA-LSA)/(2*pi*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 Volume of Elliptic Cylinder given Total Surface Area and Semi Major Axis?

Volume of Elliptic Cylinder given Total Surface Area and Semi Major Axis calculator uses Volume of Elliptic Cylinder = pi*Height of Elliptic Cylinder*Semi Major Axis of Elliptic Cylinder*((Total Surface Area of Elliptic Cylinder-Lateral Surface Area of Elliptic Cylinder)/(2*pi*Semi Major Axis of Elliptic Cylinder)) to calculate the Volume of Elliptic Cylinder, Volume of Elliptic Cylinder given Total Surface Area and Semi Major Axis formula is defined as the total quantity of three dimensional space enclosed by the entire surface of the Elliptic Cylinder, and is calculated using height, lateral surface area, total surface area and semi-major axis of Elliptic Cylinder. Volume of Elliptic Cylinder is denoted by V symbol.

How to calculate Volume of Elliptic Cylinder given Total Surface Area and Semi Major Axis using this online calculator? To use this online calculator for Volume of Elliptic Cylinder given Total Surface Area and Semi Major Axis, enter Height of Elliptic Cylinder (h), Semi Major Axis of Elliptic Cylinder (a), Total Surface Area of Elliptic Cylinder (TSA) & Lateral Surface Area of Elliptic Cylinder (LSA) and hit the calculate button. Here is how the Volume of Elliptic Cylinder given Total Surface Area and Semi Major Axis calculation can be explained with given input values -> 125 = pi*5*4*((145-95)/(2*pi*4)).

FAQ

What is Volume of Elliptic Cylinder given Total Surface Area and Semi Major Axis?
Volume of Elliptic Cylinder given Total Surface Area and Semi Major Axis formula is defined as the total quantity of three dimensional space enclosed by the entire surface of the Elliptic Cylinder, and is calculated using height, lateral surface area, total surface area and semi-major axis of Elliptic Cylinder and is represented as V = pi*h*a*((TSA-LSA)/(2*pi*a)) or Volume of Elliptic Cylinder = pi*Height of Elliptic Cylinder*Semi Major Axis of Elliptic Cylinder*((Total Surface Area of Elliptic Cylinder-Lateral Surface Area of Elliptic Cylinder)/(2*pi*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, Total Surface Area of Elliptic Cylinder is the total quantity of plane enclosed on the entire surface of the Elliptic Cylinder & Lateral Surface Area of Elliptic Cylinder is the total quantity of plane enclosed on the lateral curved surface of the Elliptic Cylinder.
How to calculate Volume of Elliptic Cylinder given Total Surface Area and Semi Major Axis?
Volume of Elliptic Cylinder given Total Surface Area and Semi Major Axis formula is defined as the total quantity of three dimensional space enclosed by the entire surface of the Elliptic Cylinder, and is calculated using height, lateral surface area, total surface area and semi-major axis of Elliptic Cylinder is calculated using Volume of Elliptic Cylinder = pi*Height of Elliptic Cylinder*Semi Major Axis of Elliptic Cylinder*((Total Surface Area of Elliptic Cylinder-Lateral Surface Area of Elliptic Cylinder)/(2*pi*Semi Major Axis of Elliptic Cylinder)). To calculate Volume of Elliptic Cylinder given Total Surface Area and Semi Major Axis, you need Height of Elliptic Cylinder (h), Semi Major Axis of Elliptic Cylinder (a), Total Surface Area of Elliptic Cylinder (TSA) & Lateral Surface Area of Elliptic Cylinder (LSA). With our tool, you need to enter the respective value for Height of Elliptic Cylinder, Semi Major Axis of Elliptic Cylinder, Total Surface Area of Elliptic Cylinder & Lateral Surface Area 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 Volume of Elliptic Cylinder?
In this formula, Volume of Elliptic Cylinder uses Height of Elliptic Cylinder, Semi Major Axis of Elliptic Cylinder, Total Surface Area of Elliptic Cylinder & Lateral Surface Area of Elliptic Cylinder. We can use 5 other way(s) to calculate the same, which is/are as follows -
  • Volume of Elliptic Cylinder = pi*Height of Elliptic Cylinder*Semi Minor Axis of Elliptic Cylinder* (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*((Total Surface Area of Elliptic Cylinder-Lateral Surface Area of Elliptic Cylinder)/(2*pi*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/(pi*Height 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/(pi*(Semi Minor Axis of Elliptic Cylinder+Semi Major Axis of Elliptic Cylinder))
  • Volume of Elliptic Cylinder = pi*Height of Elliptic Cylinder*Semi Minor Axis of Elliptic Cylinder*Semi Major Axis of Elliptic Cylinder
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