In the formula for the volume of a cylinder, the base area \( B \) is represented by the area of the circular base of the cylinder. This can be calculated using the formula for the area of a circle, which is \( B = \pi r^2 \), where \( r \) is the radius of the circular base.
So, when finding the volume of a cylinder, the formula is:
\[ V = Bh = \pi r^2 h \]
where \( h \) is the height of the cylinder.