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Cylinder Radius from Volume Calculator.

Find a right cylinder's radius from its volume and height.

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radius: 1.78412412

radius

0.00000000

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Find a right cylinder's radius from its volume and height.

Use Cases

Engineering and Design

Determine the radius of a cylindrical component when you know its volume and height, useful for manufacturing or design specifications.

Example: A tank holds 1000 cubic inches and is 20 inches tall; find its radius.

Educational Math Problems

Solve geometry homework or exam problems that ask for the radius given volume and height, with step-by-step verification.

Example: Given V = 500 cm³ and h = 10 cm, what is the radius?

Frequently Asked Questions

How do I calculate the radius of a cylinder from volume and height?
Use the formula r = sqrt(V / (π * h)), where V is the volume, h is the height, and π is approximately 3.14159. Enter your volume and height into the calculator, and it will compute the radius for you.
What units should I use for volume and height?
You can use any consistent units, such as cubic inches for volume and inches for height, or cubic centimeters and centimeters. The calculator will return the radius in the corresponding linear unit (e.g., inches or centimeters).
Can I use this calculator for any cylinder?
Yes, as long as you know the volume and height, you can find the radius of any right circular cylinder. The formula assumes a standard cylinder with a circular base.

Tips & Common Mistakes

Tips

  • Ensure volume and height are in compatible units (e.g., cubic inches with inches) to get the radius in the correct linear unit.
  • Use the formula r = sqrt(V / (π * h)) to double-check the calculator's result manually.
  • If you have the diameter instead of the radius, remember that radius = diameter / 2.
  • For a quick estimate, use π ≈ 3.14, but the calculator uses a more precise value for accuracy.

Common Mistakes to Avoid

  • Forgetting to use consistent units: mixing cubic meters with centimeters will give an incorrect radius.
  • Confusing radius with diameter: the calculator returns the radius, not the diameter.
  • Entering the volume as a diameter or height incorrectly, leading to an unrealistic result.

Last updated: August 13, 2026