Free · 3D geometry calculators 📦

Cylinder Volume, Radius, Diameter & Height

Relate a circular cylinder’s volume, height, radius and diameter using independent measurement units.

  • Formula & worked example
  • Private in your browser
  • No signup
Go to tool

Calculator inputs

Loading calculator…

How to use this calculator

  1. Enter the known values in the units shown. Results update as you type.
  2. Where results are editable, change one to solve backwards. Lock a value to hold it fixed.
  3. Use the worked example to check the method. Reset restores the starting fields.

Private by default

Inputs and results stay in this browser tab. Bookify does not upload or store the values you enter.

Formula and method

A cylinder with radius 2 cm and height 10 cm has diameter 4 cm and volume 40π cm³, approximately 125.663706 cm³.

V = πr²h; d = 2r; r = √(V/(πh)) for h > 0

Worked example

Enter these known values and leave the other values blank.

Cylinder height
10 cm
Circular radius
2 cm
Cylinder volume
125.66 cm³
Circular diameter
4 cm

Assumptions and limitations

  • The cross-section is a constant circle and the height is measured perpendicular to the base. The model does not include a hollow wall, rounded ends or a partial fill level.
  • Dimensions and volume must be nonnegative. A zero radius or height gives zero volume; zero-volume inverse problems can lack a unique missing dimension.
  • The US gallon, US fluid ounce and US customary cup use exact definitions. Imperial volume options are different from US options. The spoon options are specifically 15 mL and 5 mL.
  • The default metric display uses centimeters and cubic centimeters. Each length selector and the volume selector can be changed independently.

Common questions

How does doubling the diameter affect volume?

With height fixed, doubling diameter also doubles radius, so volume increases by a factor of four.

Can zero volume tell me the radius?

With a positive known height, the nonnegative radius is zero. If height is also zero, volume is zero for any radius and there is no unique inverse result.

References

Bookify replaces the captured rounded US gallon with the exact 3.785411784-liter definition. The US fluid ounce uses one 128th of the exact US liquid gallon, replacing the rounded captured reciprocal factor. The US customary cup uses one sixteenth of the exact US liquid gallon, replacing the rounded captured cup volume.

Explore 3d geometry calculators 📦 or browse all math calculators.