1. What is the Cylinder Radius Formula?

The cylinder radius formula calculates the radius of a cylinder when you know its volume and height. This is derived from the standard volume formula for a cylinder: V = πr²h.

2. How Does the Calculator Work?

The calculator uses the radius formula:

Where:

• \( r \) — Radius of the cylinder
• \( V \) — Volume of the cylinder
• \( h \) — Height of the cylinder
• \( \pi \) — Mathematical constant (≈3.14159)

Explanation: The formula rearranges the standard volume equation to solve for radius instead of volume.

3. Importance of Radius Calculation

Details: Calculating radius from volume and height is useful in engineering, manufacturing, and design applications where cylindrical dimensions need to be determined from known quantities.

4. Using the Calculator

Tips: Enter volume in cubic units and height in length units. Both values must be positive numbers. The result will be in the same length units as your height input.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use?
A: Use consistent units - volume in cubic units (e.g., cm³, m³) and height in corresponding length units (e.g., cm, m).

Q2: Can I use this for partial cylinders?
A: No, this formula assumes a perfect right circular cylinder. For partial cylinders, more complex calculations are needed.

Q3: What if I get an unrealistically large radius?
A: Check your units - you might have volume in smaller units (e.g., cm³) and height in larger units (e.g., m).

Q4: How precise is this calculation?
A: The calculation is mathematically exact, but practical precision depends on your measurement accuracy.

Q5: Can I calculate diameter instead?
A: Yes, diameter is simply twice the radius (d = 2r).