Lesson 10-1: Volume of Cylinders

Property

Volume is the amount of space contained within a three-dimensional object. It is measured in cubic units, such as cubic feet or cubic centimeters.

Cylinder Volume Formula:

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

For a circle with radius $r$:
The area is $A = \pi r^2$.
The number $\pi$ (pi) is a constant used for all circles. For exact answers, leave the symbol $\pi$ in the solution. For approximate answers, use $\pi \approx 3.14$ or $\pi \approx \frac{22}{7}$.

Examples