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 a missing dimension of a cylinder, rearrange the volume formula $V = \pi r^2 h$.

• To find the height ($h$):
  $$h = \frac{V}{\pi r^2}$$
• To find the radius ($r$):
  $$r = \sqrt{\frac{V}{\pi h}}$$

Examples

Property

To convert between units of volume, you must cube the linear unit conversion factor. If the linear conversion is $1 \text{ unit A} = k \text{ unit B}$, then the volume conversion is:

Examples