The formula of cylinder volume is: πr? H=S bottom area × height (h), and its relevant contents are as follows:

1. The concept of cylinder: A cylinder is a common geometric shape, which is surrounded by two parallel circular surfaces and one side. The volume of a cylinder is an important concept in mathematics and physics.

2. Formula calculation of cylinder volume: V=πr? Where v is the volume of the cylinder, r is the radius of the bottom surface of the cylinder, and h is the height of the cylinder. π is pi, which is approximately equal to 3. 14 159. This formula shows that the volume of a cylinder is determined by the radius and height of the bottom surface. The radius of the bottom surface determines the transverse size of the cylinder, while the height determines the longitudinal extension of the cylinder.

3. Other calculation methods of cylinder: The volume of cylinder can also be obtained by decomposing the cylinder into countless thin layers, then calculating the volume of each thin layer separately, and finally adding these volumes. The shape of each thin layer is a small rectangle, its length is a short section of the circumference, its width is the height of the cylinder, and its height is the thickness of the thin layer.

Cylinder related content

1. Definition of cylinder: A cylinder is formed by rotating a rectangular plane along one side. The two adjacent sides of a rectangular plane are called the axis and generatrix of a cylinder respectively. The surface formed after rotation is called a cylindrical surface, and the section of the cylindrical surface parallel to the bottom surface is called a circular section, and its size is controlled by the bus.

2. Basic properties of the cylinder: the two bottom surfaces of the cylinder are circles with equal radii, and the center of the circle is the intersection of the axis and the bus. The sides of a cylinder are rectangles, one of which is a generatrix and the other is a circumference. The surface area of a cylinder is the sum of the bottom area and the side area. The volume of a cylinder is the bottom area multiplied by the height. The bottom area of a cylinder is the area of a circle, which can be obtained by the radius.

3. Relationship between cylinder and other shapes: there is a relationship between cylinder and cone, and a cylinder and a cone with the center at the bottom of the cylinder as the vertex can be combined into a complete big cone. Cylinders and prisms are also related. A cylinder and two parallelogram prisms with the center at the bottom of the cylinder as the vertex can be spliced into a cuboid.