Volume of a cylinder
The volume of a cylinder is the amount of space enclosed inside it.
Practice This ConceptMain explanation
Teacher explanation
A cylinder has the same circular cross-section throughout its height. So its volume is found by multiplying the area of the circular base by the height. This makes the formula simple and very useful in capacity questions like tanks, drums, and containers.
Example
A cylinder with radius 7 cm and height 10 cm has volume πr²h = π × 49 × 10 = 490π cm³ = 1540 cm³.
Simple analogy
Base area times height gives volume.
Common confusion
Students often use surface area formulas instead of the volume formula, or they forget to square the radius.
Exam tip
For capacity or space inside a cylinder, always use πr²h and write cubic units.
Answer writing and exam use
1-mark use
Write the exact meaning of volume of a cylinder in one clean line.
2-mark use
Define volume of a cylinder and add one example or condition.
3-mark use
Explain volume of a cylinder, show the method or example, and mention the common mistake.
Practice this concept with focused MCQs
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