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 formula:
\[ V = A \times h \]
where \( A \) is the area of the base (which is a circle), and \( h \) is the height of the cylinder. The area of the circle is given by the formula \( A = \pi r^2 \), where \( r \) is the radius of the circle. Thus, the volume formula derives from the area of the circle.