Lesson 1: Volumes of Cylinders

Property

A cylinder is a solid figure with two parallel circular bases of the same size. For a cylinder with radius $r$ and height $h$:

Volume: $V = \pi r^2 h$ or $V = Bh$ (where $B$ is the area of the base)

Property

To find the height ($h$) of a cylinder given its volume ($V$) and radius ($r$), you can rearrange the volume formula $V = \pi r^2 h$. By dividing both sides by the area of the base, $\pi r^2$, we get the formula for height:

Examples