The formula for the volume of a cylinder relies on the formula for the area of a circle.
The volume \( V \) of a cylinder is given by the formula:
\[ V = A \cdot h \]
where \( A \) is the area of the circular base and \( h \) is the height of the cylinder. The area \( A \) of a circle is calculated using the formula:
\[ A = \pi r^2 \]
where \( r \) is the radius of the circle. Thus, the volume formula depends on the area of the circle.