The formula for the volume of a cylinder relies on the formula for the area of a circle. The volume of a cylinder is calculated using the area of the base (which is a circle) multiplied by the height of the cylinder. The formula for the volume \( V \) of a cylinder is:
\[ V = \text{base area} \times \text{height} = \pi r^2 h \]
where \( r \) is the radius of the circle (base) and \( h \) is the height of the cylinder.