Mathematics · Grades 8–10
Volume of a cylinder
Multiply circular base area by perpendicular height.
The key idea
Multiply circular base area by perpendicular height.
V = πr²h
Worked examples
A cylinder has radius 15 cm and height 19 cm. Its volume is kπ cm³. Find k.
V = π × 15² × 19 = 4275π
4275
A cylinder has radius 1 cm and height 21 cm. Its volume is kπ cm³. Find k.
V = π × 1² × 21 = 21π
21
Try it yourself
A cylinder has radius 6 cm and height 32 cm. Its volume is kπ cm³. Find k.
A cylinder has radius 16 cm and height 38 cm. Its volume is kπ cm³. Find k.
Check your understanding
Answers and marking notes
- 1152
V = π × 6² × 32 = 1152π
- 9728
V = π × 16² × 38 = 9728π
Further reading and review references
These are reference links, not copied exercises, institutional endorsement or proof of independent review.
Learning preview · teacher review required. Grade bands are approximate, not official curriculum alignment.