Volume of a Cylinder

The volume of a cylinder is very similar to other types of volumes.

To find the volume of a three-dimensional shape, you find the cross section and multiply by the height.

The cross section of a cylinder is a circle. From this we can now look for a formula. We know that the base section is a circle, and the area of a circle is $A = \pi r^2$. To find the literal equation/formula for the volume of a cylinder, we just multiply the area of its circular base by its height $h:$

$V=A \times h= \pi r^2 h$, so $V=\pi r^2 h$, for radius $r$ and height $h$.