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Radius Of Cylinder Given Volume Calculator

Cylinder Radius Formula:

\[ r = \sqrt{\frac{V}{\pi \times h}} \]

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1. What is the Cylinder Radius Formula?

The cylinder radius formula calculates the radius of a cylinder when given its volume and height. It is derived from the standard volume formula for a cylinder: \( V = \pi \times r^2 \times h \).

2. How Does the Calculator Work?

The calculator uses the radius formula:

\[ r = \sqrt{\frac{V}{\pi \times h}} \]

Where:

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

3. Importance of Radius Calculation

Details: Calculating the radius of a cylinder is essential in various engineering, manufacturing, and geometric applications where cylindrical dimensions need to be determined from known volume and height.

4. Using the Calculator

Tips: Enter the volume and height of the cylinder. Both values must be positive numbers. The calculator will compute the radius using the mathematical formula.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for volume and height?
A: Use consistent units (e.g., cubic cm for volume and cm for height). The radius result will be in the same linear units as the height.

Q2: Can this calculator handle different unit systems?
A: Yes, as long as volume and height use consistent units, the calculator will provide accurate results.

Q3: What if I have diameter instead of radius?
A: Remember that radius is half of diameter. You can calculate diameter first, then divide by 2 to get radius.

Q4: Is this formula valid for all types of cylinders?
A: Yes, this formula works for right circular cylinders where the base is a perfect circle.

Q5: What is the precision of the calculation?
A: The calculator provides results with 4 decimal places for accuracy in most practical applications.

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