Side Length Of Flat End Cylinder Given Volume And Radius Calculator

Formula Used:

\[ lSide = \sqrt{r^2 + \left(\frac{V}{r^2 \times (\pi - \frac{4}{3})}\right)^2} \]

Side Length of Flat End Cylinder:

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is the Side Length of Flat End Cylinder?

The side length of a flat end cylinder is the measurement of the straight side connecting the two flat circular ends of the cylinder. It's an important geometric measurement for various engineering and mathematical applications.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ lSide = \sqrt{r^2 + \left(\frac{V}{r^2 \times (\pi - \frac{4}{3})}\right)^2} \]

Where:

\( lSide \) — Side Length of Flat End Cylinder (m)
\( r \) — Radius of Flat End Cylinder (m)
\( V \) — Volume of Flat End Cylinder (m³)
\( \pi \) — Archimedes' constant (approximately 3.14159)

Explanation: This formula calculates the side length by considering the relationship between the cylinder's volume, radius, and geometric properties.

3. Importance of Side Length Calculation

Details: Calculating the side length is crucial for various applications including structural design, material estimation, and geometric analysis of cylindrical objects with flat ends.

4. Using the Calculator

Tips: Enter the radius in meters and volume in cubic meters. Both values must be positive numbers. The calculator will compute the side length automatically.

5. Frequently Asked Questions (FAQ)

Q1: What is a flat end cylinder?
A: A flat end cylinder is a three-dimensional geometric shape with two parallel circular bases connected by a curved surface, where both ends are flat circular surfaces.

Q2: Why is π - 4/3 used in the formula?
A: This term accounts for the specific geometric properties of the flat end cylinder and its relationship between volume, radius, and side length.

Q3: What units should I use for input?
A: Use consistent units (meters for radius, cubic meters for volume). The calculator will output side length in meters.

Q4: Can this calculator handle very large or small values?
A: Yes, as long as the values are positive numbers and the denominator doesn't become zero, the calculator can handle a wide range of values.

Q5: What if I get an error message?
A: An error typically occurs when the denominator becomes zero, which happens when the radius is zero or when the calculation becomes mathematically undefined.