Volume of Cut Cylinder given Lateral Surface Area Calculator

Volume Formula:

\[ V = \frac{r}{2} \times LSA \]

Volume of Cut Cylinder (m³):

1. What is Volume of Cut Cylinder?

Definition: The volume of a cut cylinder is the total quantity of three dimensional space enclosed by the entire surface of the Cut Cylinder.

Purpose: This calculator helps determine the volume when you know the radius and lateral surface area of a cut cylinder.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ V = \frac{r}{2} \times LSA \]

Where:

\( V \) — Volume of cut cylinder (cubic meters)
\( r \) — Radius of cut cylinder (meters)
\( LSA \) — Lateral surface area (square meters)

Explanation: The volume is calculated by multiplying half the radius by the lateral surface area.

3. Importance of Volume Calculation

Details: Accurate volume calculation is essential for material estimation, structural analysis, and design verification in engineering applications.

4. Using the Calculator

Tips: Enter the radius in meters, lateral surface area in square meters, and tolerance percentage (default ±5%). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is a cut cylinder?
A: A cut cylinder is a cylindrical shape that has been sliced by a plane, resulting in an elliptical cross-section.

Q2: How is lateral surface area different from total surface area?
A: Lateral surface area includes only the curved surface, excluding the top and bottom circular faces.

Q3: Why include a tolerance percentage?
A: Tolerance accounts for measurement errors and material variations in practical applications.

Q4: What units should I use?
A: The calculator uses meters for radius and square meters for area, but any consistent unit system will work.

Q5: Can this be used for partially filled cylinders?
A: Yes, if you know the lateral surface area of the filled portion.