Radius of Half Cylinder given Curved Surface Area Calculator

Formula Used:

\[ r = \frac{CSA}{\pi \times h} \]

Radius of Half Cylinder:

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1. What is the Radius of Half Cylinder?

The radius of a half cylinder is the distance from the center of the semicircular base to any point on its circumference. It is a fundamental geometric property that determines the size and proportions of the half cylinder.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ r = \frac{CSA}{\pi \times h} \]

Where:

\( r \) — Radius of Half Cylinder (m)
\( CSA \) — Curved Surface Area of Half Cylinder (m²)
\( \pi \) — Mathematical constant pi (approximately 3.14159)
\( h \) — Height of Half Cylinder (m)

Explanation: This formula derives from the curved surface area formula of a half cylinder, rearranged to solve for the radius.

3. Importance of Radius Calculation

Details: Calculating the radius is essential for various engineering and architectural applications, including volume calculations, structural design, and material estimation for half-cylindrical structures.

4. Using the Calculator

Tips: Enter the curved surface area in square meters and the height in meters. Both values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between a full cylinder and a half cylinder?
A: A half cylinder is exactly half of a full cylinder, with one curved surface and two flat rectangular surfaces instead of two circular bases.

Q2: Can this formula be used for any unit of measurement?
A: Yes, as long as both curved surface area and height use the same unit system (e.g., both in meters or both in feet).

Q3: What if I have the total surface area instead of curved surface area?
A: You would need to subtract the area of the flat rectangular surfaces first before using this calculator.

Q4: How accurate is this calculation?
A: The calculation is mathematically exact, assuming precise input values and using the exact value of pi.

Q5: What are some practical applications of half cylinders?
A: Half cylinders are commonly used in architecture (barrel vaults), engineering (tunnel sections), and various industrial designs.