Formula Used:
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The Volume of Elliptic Cylinder is the total quantity of three dimensional space enclosed by the entire surface of the Elliptic Cylinder. It represents the capacity or the amount of material that can be contained within the cylinder.
The calculator uses the formula:
Where:
Explanation: This formula calculates the volume of an elliptic cylinder when the lateral surface area and the semi-axes of the elliptic base are known.
Details: Calculating the volume of elliptic cylinders is important in various engineering, architectural, and manufacturing applications where elliptical cross-sections are used, such as in storage tanks, piping systems, and structural components.
Tips: Enter semi minor axis and semi major axis in meters, lateral surface area in square meters. All values must be positive numbers greater than zero.
Q1: What is the difference between semi minor and semi major axis?
A: The semi major axis is the longest radius of the elliptic face, while the semi minor axis is the shorter radius perpendicular to the major axis.
Q2: Can this formula be used for circular cylinders?
A: Yes, when the semi major and semi minor axes are equal (a = b = r), the formula simplifies to the standard cylinder volume formula V = (π·r²·h), where h is the height.
Q3: What are typical applications of elliptic cylinders?
A: Elliptic cylinders are commonly used in aerospace engineering, architectural design, and fluid dynamics where streamlined shapes are beneficial.
Q4: How accurate is this calculation?
A: The calculation is mathematically exact for perfect elliptic cylinders. The accuracy in practical applications depends on the precision of the input measurements.
Q5: What units should I use for the inputs?
A: The calculator uses meters for length measurements and square meters for area. Ensure all inputs use consistent units for accurate results.