Math

Area and volume of shapes

Circle, sphere, cylinder, cone, cube: area, perimeter and volume.

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How it works

Circle: π r². Sphere: 4/3 π r³. Cylinder: π r² h. Cone: π r² h / 3. Box: side² × height. 1,000 cm³ = 1 litre.

Results are for guidance only and do not replace professional advice.

Worked example

With the default values:

  • ShapeCylinder
  • Radius or side (cm)5
  • Height (cm)12

you get:

  • Volume942.478 cm³
  • Total surface534.071 cm²
  • In litres0.942 L

Frequently asked questions

How does the “Area and volume of shapes” tool work?

Circle: π r². Sphere: 4/3 π r³. Cylinder: π r² h. Cone: π r² h / 3. Box: side² × height. 1,000 cm³ = 1 litre.

What do I need to enter?

Just fill in: shape, radius or side, height. The result updates as you type.

Can you give an example?

Shape: Cylinder; Radius or side (cm): 5; Height (cm): 12 → Volume: 942.478 cm³; Total surface: 534.071 cm².

Is this calculator free, and is my data private?

Yes. HOD Calc is completely free with no sign-up. The calculation runs in your browser: nothing you type is sent or stored.