Calcylator

Volume of a Cylinder Calculator

Math · Geometry

Quick answer

If radius is 5 and height is 12, the volume is 942.4778 cubic units.

Cylinder volume: Volume = π × radius² × height.

Enter your values

Volume

942.4778cubic units

The amount of three-dimensional space this occupies, in cubic units.

You enter Radius 5, Height 12. You get Volume 942.4778 cubic units.

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About the Volume of a Cylinder Calculator

The volume of a cylinder is the base area multiplied by the height. Use it for tanks, pipes, cans and drums, and to work out how much liquid a cylinder holds. Enter the radius and the height in the same unit.

A cylinder with a radius of 5 and a height of 12 has a volume of about 942.48 cubic units.

Cylinder volume

Volume = π × radius² × height

Things to keep in mind

  • 1,000 cubic centimetres equal 1 litre.
  • Use the inside radius if you want the capacity.
  • A cone with the same base and height has exactly one third of the volume.

See how the result changes

Each table re-runs this calculator with one value changed and everything else left as it is.

Volume by radius

If radius goes from 5 to 7.5, volume changes from 942.4778 cubic units to 2,120.58 cubic units (+125%).

Volume for different values of Radius
RadiusVolume
2.5235.6194 cubic units
3.75530.1438 cubic units
5start942.4778 cubic units
7.52,120.58 cubic units
103,769.91 cubic units

Volume by height

If height goes from 12 to 18, volume changes from 942.4778 cubic units to 1,413.72 cubic units (+50%).

Volume for different values of Height
HeightVolume
6471.2389 cubic units
9706.8583 cubic units
12start942.4778 cubic units
181,413.72 cubic units
241,884.96 cubic units
MATH GUIDE

A quick guide to Cylinder Volume

Use it to get an accurate volume in seconds — free, with no sign-up.

  • Instant results

    See your volume the moment you enter your numbers.

  • Free, no sign-up

    Every calculator here is free to use, with no account required.

  • Accurate & transparent

    The same standard formula runs on our server for every calculation.

How to Use the Cylinder Volume Calculator

1

Enter Radius

Provide your radius.

2

Enter Height

Provide your height.

3

View Your Results

Get your volume instantly, calculated on our server.

What is Cylinder Volume?

This math tool works out your volume instantly, so you don't have to do the math by hand.

“One quick calculation, so you always know your volume before you decide.”

What Affects Your Volume

Your volume depends on the values below.

  • Radius

    Changing your radius changes your volume.

  • Height

    Changing your height changes your volume.

Example Result

Here's what you can expect from a cylinder volume calculation:

Radius
5
Height
12
Volume
942.4778 cubic units

Frequently Asked Questions

How does radius affect volume?
If radius goes from 5 to 7.5, volume changes from 942.4778 cubic units to 2,120.58 cubic units (+125%).
How does height affect volume?
If height goes from 12 to 18, volume changes from 942.4778 cubic units to 1,413.72 cubic units (+50%).
How to calculate cylinder volume?
Fill in radius and height in the Volume of a Cylinder Calculator above and your volume is calculated instantly. Change any value to see how the result responds.
What does an example cylinder volume calculation look like?
If radius is 5 and height is 12, the volume is 942.4778 cubic units.
Is this calculator free to use?
Yes — every calculator on this site is completely free, with no sign-up or account required.
How accurate is this calculator?
It uses the standard formula and calculates on our server for every request, so results are precise for the values you enter.
Is my data saved anywhere?
No. Nothing you enter is stored or sent anywhere unless you choose to share a link with your values included.
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Cylinder Volume

Enter your values

Volume

942.4778cubic units

The amount of three-dimensional space this occupies, in cubic units.

You enter Radius 5, Height 12. You get Volume 942.4778 cubic units.

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