The axial cross-sectional area of the cylinder is 12 cm2, and the height is 2 cm. Find the base area.

The axial section of the cylinder is a rectangle, one of the sides of which is equal to the height of the cylinder, and the other to the diameter of its base. Accordingly, the area of such a section can be defined as the product of the height and the diameter of the base: S = h * d.

Find the diameter of the cylinder base:

d = S / h = 12/2 = 6 cm.

This means that the radius of the base of the cylinder is r = d / 2 = 6/2 = 3 cm.

The base of the cylinder is a circle, its area is determined by the formula:

Sb = π * r2 = π * 32 = 9π ≈ 28.27 cm2.