1. What is Height of Half Cylinder?

The height of a half cylinder is the perpendicular distance between its two parallel circular bases. It's a crucial dimension in determining the volume and surface area of the half cylinder.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( h \) — Height of the half cylinder
• \( CSA \) — Curved surface area
• \( r \) — Radius of the base
• \( \pi \) — Mathematical constant (approximately 3.14159)

Explanation: This formula derives from the curved surface area formula of a half cylinder and solves for the height.

3. Importance of Height Calculation

Details: Calculating the height of a half cylinder is essential in various engineering and architectural applications, including tank design, structural analysis, and volume calculations for storage containers.

4. Using the Calculator

Tips: Enter the curved surface area in square meters and the radius in meters. Both values must be positive numbers. The calculator will compute the height of the half cylinder.

5. Frequently Asked Questions (FAQ)

Q1: What is a half cylinder?
A: A half cylinder is a three-dimensional geometric shape formed by cutting a full cylinder in half lengthwise.

Q2: How is curved surface area different from total surface area?
A: Curved surface area includes only the curved portion, while total surface area includes both curved surface and the two flat rectangular faces.

Q3: Can this formula be used for full cylinders?
A: No, this specific formula is designed for half cylinders. Full cylinders have different surface area calculations.

Q4: What units should I use for the inputs?
A: Use consistent units (e.g., meters for both radius and curved surface area) to get the height in the same unit.

Q5: What if I get a negative height result?
A: A negative height indicates invalid input values. Please check that both curved surface area and radius are positive numbers and that the values are physically possible.