PEAZIT Aha card
Go straight to resources ↓A cylinder: circular layers and a rectangular mantle
Volume stacks a circular base to height h. The unrolled curved surface is a rectangle of length 2πr and height h.
| Relation | Meaning |
|---|---|
| V = πr²h | Multiply base area by height. |
| S = 2πr² + 2πrh | Surface area adds two bases to the curved surface. |
| r = 2; h = 5: V ≈ 62.8; S ≈ 87.92 | Volume uses cm³; area uses cm². |
One worked example
- V = πr²hMultiply base area by height.
- S = 2πr² + 2πrhSurface area adds two bases to the curved surface.
- r = 2; h = 5: V ≈ 62.8; S ≈ 87.92Volume uses cm³; area uses cm².
Watch out: The surface formula is for a closed right cylinder. Radius is half the diameter.
Goal, prerequisites and card origin
What you will learn: Calculate volume and surface area of a right cylinder.
What you need first: Circle area and circumference.
An original PEAZIT working card. Independent expert review and effectiveness testing have not yet taken place. · v1
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Volume stacks a circular base to height h. The unrolled curved surface is a rectangle of length 2πr and height h.