📐 Geometry

Cylinder Volume Calculator

Calculate the volume and surface area of a cylinder.

Results

Volume
282.743338823
Lateral surface area
188.495559215
Total surface area
245.04422698

📊 Cylinder Volume Calculator chart

How the volume changes as the radius varies. The orange dot marks your current value.

What is the Cylinder Volume Calculator?

Calculate the volume and surface area of a cylinder. Cylinders are everywhere — tanks, cans, pipes and planters — and their volume follows directly from radius and height.

Cylinder Volume Calculator – free online geometry tool illustration
Cylinder Volume Calculator — free, exact and private.

How to use the Cylinder Volume Calculator

  1. Enter your radius, your height.
  2. Results update automatically as you type; you can also press Calculate.
  3. Read the output: volume, lateral surface area, total surface area.
  4. Use the 📊 chart to see the result visually, then copy or share it.

Formula and method

V = πr²h SA = 2πr(r + h)

Worked example

With radius = 3, height = 10, the Cylinder Volume Calculator returns volume: 282.743338823; lateral surface area: 188.495559215; total surface area: 245.04422698.

Where the Cylinder Volume Calculator helps in real life

You are filling a round planter 40 cm across and 50 cm deep with potting mix. The calculator gives the volume in liters, which matches how soil is sold.

You want to know how much rain a barrel can store. Entering its inside radius and height gives the capacity in gallons or liters.

Common mistakes to avoid

  • Entering the diameter as the radius.
  • Using outside dimensions for capacity.
  • Ignoring the wall thickness of thick containers.
  • Mixing units between radius and height.

💡 Practical tip: Small changes in radius make big changes in volume because the radius is squared.

Illustration: a classroom whiteboard with geometric shapes
Cylinder Volume Calculator in everyday work — illustration.

Tips for better results

  • Measure the inside diameter and halve it.
  • Convert cubic centimeters to liters by dividing by 1,000.
  • Check results against labelled capacities when available.

Frequently asked questions

What does the Cylinder Volume Calculator do?

Calculate the volume and surface area of a cylinder.

How is it calculated?

The Cylinder Volume Calculator uses this method: V = πr²h; SA = 2πr(r + h).

Can you show an example?

With radius = 3, height = 10, the Cylinder Volume Calculator returns volume: 282.743338823; lateral surface area: 188.495559215; total surface area: 245.04422698.

Is the Cylinder Volume Calculator accurate?

Yes. It uses standard formulas and exact constants, and the results are verified by our automated test suite. Values are displayed to up to 12 significant digits.

Is this tool free and private?

Yes — the Cylinder Volume Calculator is completely free with no sign-up, and it runs entirely in your browser, so the values you enter are never uploaded to our servers.

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