1. What is the Cylinder Radius Formula?

The cylinder radius formula calculates the radius of a cylinder when given 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 (units)
• \( V \) — Volume of the cylinder (units³)
• \( h \) — Height of the cylinder (units)
• \( \pi \) — Mathematical constant pi (approximately 3.14159)

Explanation: The formula is derived by rearranging the standard cylinder volume formula V = πr²h to solve for radius.

3. Importance of Radius Calculation

Details: Calculating the radius from volume and height is essential in various engineering, manufacturing, and mathematical applications where one dimension needs to be determined from known measurements.

4. Using the Calculator

Tips: Enter volume in cubic units, height in linear units. Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for volume and height?
A: Use consistent units (e.g., both in meters for volume in m³ and height in m, or both in inches for volume in in³ and height in in).

Q2: Can this formula be used for any type of cylinder?
A: Yes, this formula works for any right circular cylinder where the cross-section is a perfect circle.

Q3: What if I get an error or unexpected result?
A: Ensure both volume and height are positive values and that the volume is realistically possible for the given height.

Q4: How accurate is the calculation?
A: The calculation is mathematically precise. The accuracy depends on the precision of your input values.

Q5: Can I calculate height if I know volume and radius?
A: Yes, you can rearrange the formula to h = V / (πr²) to calculate height from volume and radius.