Height of Elliptic Cylinder given Volume Calculator

Formula Used:

\[ h = \frac{V}{\pi \times b \times a} \]

Height of Elliptic Cylinder:

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is the Height of Elliptic Cylinder?

The height of an elliptic cylinder is the vertical distance between its two parallel elliptical bases. It is a fundamental dimension that, along with the semi-major and semi-minor axes, determines the volume and surface area of the cylinder.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ h = \frac{V}{\pi \times b \times a} \]

Where:

\( h \) — Height of Elliptic Cylinder (m)
\( V \) — Volume of Elliptic Cylinder (m³)
\( b \) — Semi Minor Axis (m)
\( a \) — Semi Major Axis (m)
\( \pi \) — Archimedes' constant (approximately 3.14159)

Explanation: This formula rearranges the volume formula for an elliptic cylinder to solve for height, using the known volume and elliptical base dimensions.

3. Importance of Height Calculation

Details: Calculating the height is essential for various engineering and architectural applications where elliptic cylinders are used, such as in tank design, structural components, and fluid dynamics calculations.

4. Using the Calculator

Tips: Enter the volume in cubic meters, semi-minor axis in meters, and semi-major axis in meters. All values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is an elliptic cylinder?
A: An elliptic cylinder is a 3D shape with two parallel elliptical bases connected by a curved lateral surface.

Q2: How does this differ from a circular cylinder?
A: Unlike circular cylinders with circular bases, elliptic cylinders have elliptical bases, requiring both semi-major and semi-minor axes for calculations.

Q3: What are typical applications of elliptic cylinders?
A: Elliptic cylinders are used in architecture, engineering designs, storage tanks, and various mechanical components where elliptical shapes are preferred.

Q4: Can this formula be used for any elliptic cylinder?
A: Yes, this formula applies to all right elliptic cylinders where the bases are parallel and perpendicular to the height.

Q5: What units should I use for input?
A: Use consistent units (preferably meters for length and cubic meters for volume) to ensure accurate results.