Volume Of Elliptic Cylinder Given Lateral Surface Area And Semi Major Axis Calculator

Formula Used:

\[ V = \pi \times h \times a \times \left( \frac{LSA}{\pi \times h} - a \right) \]

Height of Elliptic Cylinder:

Semi Major Axis of Elliptic Cylinder:

Lateral Surface Area of Elliptic Cylinder:

m²

Volume of Elliptic Cylinder:

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is the Volume of Elliptic Cylinder?

The volume of an 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.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ V = \pi \times h \times a \times \left( \frac{LSA}{\pi \times h} - a \right) \]

Where:

\( V \) — Volume of Elliptic Cylinder (m³)
\( \pi \) — Archimedes' constant (≈3.14159)
\( h \) — Height of Elliptic Cylinder (m)
\( a \) — Semi Major Axis of Elliptic Cylinder (m)
\( LSA \) — Lateral Surface Area of Elliptic Cylinder (m²)

Explanation: This formula calculates the volume of an elliptic cylinder when given its height, semi-major axis, and lateral surface area.

3. Importance of Volume Calculation

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, pipes, and structural components.

4. Using the Calculator

Tips: Enter height in meters, semi-major axis in meters, and lateral surface area in square meters. All values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between an elliptic cylinder and a circular cylinder?
A: An elliptic cylinder has an elliptical cross-section, while a circular cylinder has a circular cross-section. The elliptic cylinder has two different axes (major and minor) defining its base shape.

Q2: Can this formula be used for any elliptic cylinder?
A: Yes, this formula is valid for all right elliptic cylinders where the lateral surface is perpendicular to the base ellipse.

Q3: What if I have the semi-minor axis instead of lateral surface area?
A: There's a different formula for that case: \( V = \pi \times h \times a \times b \), where b is the semi-minor axis.

Q4: How accurate is this calculation?
A: The calculation is mathematically exact, assuming precise input values and using sufficient decimal places for π.

Q5: What are typical applications of elliptic cylinders?
A: Elliptic cylinders are used in various applications including aerodynamic structures, certain types of storage tanks, architectural elements, and mechanical components where elliptical shapes offer specific advantages.