The cylinder

The cylinder is the first of the solids of revolution: it is obtained by rotating a rectangle about one of its sides.

Property — Right cylinder

Right cylinder (obtained by rotating a rectangle about a side), of radius $r$ and height $h$:

• $V = \pi r^2 h$   (it behaves like a right prism with a circular base)
• $S_{\text{lat}} = 2\pi r h$
• $S_{\text{tot}} = 2\pi r(r+h)$

Links

Topics: Synthetic geometry of space
Concepts: Cylinder · Solids of revolution · Surface area · Volume
Skills: Using formulas