Which formula is used to calculate the volume of a cylinder?

The formula for calculating the volume of a cylinder is based on the geometric understanding that a cylinder is essentially a series of circular bases stacked upon each other. The volume of any three-dimensional object can typically be calculated by multiplying the area of the base by the height of the object.

In the case of a cylinder, the base is a circle. The area of a circle is given by the formula A = π × r², where r is the radius of the circle. To find the total volume of the cylinder, this area is then multiplied by the height (h) of the cylinder. Therefore, the formula for the volume of a cylinder can be expressed as Volume = Area of base × Height = (π × r²) × h, which simplifies to Volume = π × r² × h.

This formula indicates not only the dependency on the radius and height but also the geometric relationship that defines a cylinder, linking the radius of the base with the vertical dimension.