Radius 3 cm, height 5 cm.
- V = π(3²)(5) = 45π cm³.
- That is approximately 141.37 cm³.
Volume of cylinders
Stack circles to fill a cylinder.
A circular base is repeated
Calculate cylinder volume and distinguish diameter, radius and height.
A cylinder’s volume is V = πr²h: the area of its circular base multiplied by perpendicular height.
Explore the dimensions
Predict first, then change one dimension. Diagrams are schematic; results use the entered values. Rounded values are marked ≈.
Read the measurements
Radius is half the diameter. Use a consistent unit for radius and height before calculating.
Use exact and approximate forms
An exact answer can contain π. For a decimal answer, use calculator precision and round only at the requested stage.
Worked examples
Diameter 8 m, height 2 m.
- The radius is 4 m.
- V = π(4²)(2) = 32π m³ ≈ 100.53 m³.
Guided Practice
A cylinder has radius 2 cm and height 6 cm. Give its exact volume.
A first hint
Find the area of the circular base, then multiply by height.
Compare your reasoning
V = π(2²)(6) = 24π cm³.
Practice
Fresh questions · useful feedback
Build fluency, one decision at a time.
Work through eight questions. Two independent correct answers introduce a harder version; supported answers bring the next question back to the foundation. You can use hints at any time.
0 of 8 questions completed
This round saves on this device. It is practice, not a school mark.
Connections
A cylinder’s radius doubles while height stays fixed. How does its volume change?
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