Skip to content
Toolspire

Education Tools

Cylinder Volume Calculator

Cylinder Volume Calculator is part of Toolspire and is ready as soon as this page loads. Volume is π r² h. Total surface area adds the side and both circular ends. A hollow tube is not this shape; both ends are included.

Runs in this tabFreeNo account

On this page

What you can do here

Volume is the headline

The search is usually for capacity. Surface area is the second figure, labelled.

Both ends included

Total surface is not the lateral area alone. The detail says two bases plus the side.

Radius, not diameter

If you measured across the tin, halve it before typing. Diameter in the radius box doubles the volume fourfold.

The sequence

How to use the Cylinder Volume Calculator

  1. 1

    Halve the diameter

    A tin that is 10 cm across has radius 5. The page will not divide for you.

  2. 2

    Match the units

    Radius in centimetres and height in metres produces a nonsense volume. Convert first.

  3. 3

    Read the surface only if you are painting or wrapping

    The volume is the capacity. The surface is the material for the outside, including the top and bottom.

Worth knowing

  • Cylinder Volume Calculator on Toolspire: volume = π × radius² × height. A radius of 1 and a height of 1 give π, about 3.1416.
  • Total surface area = 2 π r (h + r), which is the lateral area plus two bases.
  • A unit cylinder has surface area 4π, about 12.5664. That is the second check.
  • Radius and height must be zero or positive and in the same unit. The page does not ask for a diameter.

Capacity and metal are different questions

Volume answers how much the cylinder holds. Total surface area answers how much material covers it, top and bottom included. Lateral area alone would drop the 2 π r² of the ends; this page does not drop them. π is the JavaScript value, and the display rounds to four decimal places. A cone or a hollow pipe needs a different formula.

FAQ

Questions about Cylinder Volume Calculator

Where does Cylinder Volume Calculator run?

Cylinder Volume Calculator runs in this tab on Toolspire. What you type or drop in is not sent to us and is not stored on a server.

What is the volume of a cylinder?

π times radius squared times height. Radius 1 and height 1 give π, shown as 3.1416.

Does the surface area include the top and bottom?

Yes. The formula used is 2 π r (h + r), lateral area plus two circles.

What if I have the diameter?

Divide it by two and type the radius. The page does not have a diameter box.

Can the height be zero?

Yes. The volume is zero and the surface is the two faces pressed together, 2 π r².

Keep going

Related tools

Circle CalculatorNewCircle Calculator on Toolspire: From a radius, get the area, circumference and diameter of a circle. The area uses π × radius squared.CalculatorsHeron's Formula CalculatorNewHeron's Formula Calculator on Toolspire: Find a triangle’s area from all three sides with Heron’s formula. No account is required.Education ToolsSquare Root CalculatorNewSquare Root Calculator on Toolspire: Find the square root of a non-negative number and say whether that root is a whole number, a perfect square.Education ToolsWorksheet GeneratorNewMaths worksheet generator: printable addition, subtraction, times tables and division sheets with answer keys. Set the difficulty, download a PDF.Education ToolsRandom Name PickerNewRandom Name Picker on Toolspire. Pick random names with a spinning wheel: one or several winners, no repeats, and random groups. Fair, private and free.Education ToolsOMR Sheet GeneratorNewOMR Sheet Generator on Toolspire. Make printable OMR answer sheets free: up to 300 questions, 4 or 5 options, roll number bubbles.Education Tools

Open the full directory

Last updated Report a problem or suggest a feature