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Cone and Cylinder

Mathematics

★Exhibit Content: The volume relationship between a cylinder and a cone ★Interaction: Mechanical interaction ★Operation: Visitors turn the turntable and observe the flow and filling status of the liquid in the cylindrical and conical containers to understand the volume relationship between them. ★Exhibit Description: The exhibit consists of a turntable and multiple sets of containers. It mainly demonstrates the volume relationship between a cylinder and a cone. That is, when the base areas and heights are equal, the volume of the cylinder is 3 times that of the cone, and the volume of the cone is one third of that of the cylinder; when the volumes are equal, if the base areas of the cylinder and cone are equal, the height of the cone is 3 times that of the cylinder, and the height of the cylinder is one third of that of the cone; if the heights are equal, the base area of the cone is 3 times that of the cylinder, and the base area of the cylinder is one third of that of the cone. ★Scientific Principle: A cylinder is a geometric solid bounded by two equal, parallel circular bases and a curved surface connecting the two bases. A cone is a geometric figure with two definitions. Analytical geometry definition: A cone is a spatial geometric figure formed by a conical surface and a plane that intersects it. Solid geometry definition: A cone is a geometric solid formed by rotating a right triangle around the line containing one of its legs as the axis of rotation, with the curved surface generated by the other two sides rotating 360 degrees. The axis of rotation is called the axis of the cone. The curved surface generated by the side perpendicular to the axis is called the base of the cone. The curved surface generated by the side not perpendicular to the axis is called the lateral surface of the cone. Regardless of the rotation position, the side not perpendicular to the axis is called the generatrix of the cone.

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