Truncated cone volume

From ancient times, people needed to measure the amount of various substances. Bulk substances and liquids could be measured by filling them with vessels of a certain capacity, determining their quantity by volume. The concept of volume in solid geometry is introduced similarly to the concept of area in plane geometry. In plane geometry, we determined the area like this: the area of ​​a polygon is the value of the part of the plane that the polygon occupies. To formulate the concept of volume similarly to this concept. The magnitude of the part of the space occupied by the geometric body is called the volume of this body. Volume is measured in "cubic" units.

A truncated cone is the part of the cone enclosed between the base and the secant plane parallel to the base.

The volume of the truncated cone(volume of frustum) is equal to one third of the height times the number Pi, as well as the sum of the squares of the radii of the truncated pyramid and the product of the radii as shown in the above formula.