Free · Density calculators 🧱

Cylinder Mass, Density, Radius & Height

Solve density and mass from volume, or reveal cylinder dimensions to calculate volume from radius and height.

  • Formula & worked example
  • Private in your browser
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Calculator inputs

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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 mass of 1,000 kg occupying 1 m³ has density 1,000 kg/m³.

Density = mass / volume; cylinder volume = πr²h

Worked example

Enter these known values and leave the other values blank.

Mass
1000 kg
Volume (V)
1 m³
Density (ρ)
1000 kg/m³

Assumptions and limitations

  • Use mass, not gravitational force. Cylinder volume assumes a right circular cylinder with positive radius and height.
  • The direct-volume mode can describe any shape whose volume is known. Enable the dimension fields when modeling a cylinder.
  • A hollow cylinder needs material volume with the void subtracted before using direct-volume mode.
  • The retained model requires positive mass, volume and density and does not account for thermal expansion or measurement uncertainty.

Common questions

What should I check before using this result?

Use mass, not gravitational force. Cylinder volume assumes a right circular cylinder with positive radius and height.

References

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. Bookify replaces the captured rounded US gallon with the exact 3.785411784-liter definition. Bookify uses exact customary mass and volume definitions for density units, replacing rounded factors in the reference.

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