Volume of a Cylinder
The space inside a cylinder of radius r and height h.
V = \pi r^2 h
1What it means
A cylinder is a circle of area πr² extended through a height h, so its volume is the base area times the height.
2Variables
| Symbol | Meaning |
|---|---|
| V | Volume |
| r | Radius of the circular base |
| h | Height |
| \pi | Pi ≈ 22/7 |
3Worked examples
Example 1 Worked solution
Q. Find the volume of a cylinder of radius 7 cm and height 10 cm (π ≈ 22/7).
- V = π r² h = (22/7) × 7² × 10.
- = 22 × 7 × 10.
✓ V = 1540 cm³
4Where it's used
- ✦Capacity of tanks, pipes, cans and drums.
5Tips & common mistakes
- !Volume uses radius², the curved surface area uses 2πrh — do not mix them up.