Cylinder and Cone

Cylinder and Cone - Science Museum Exhibits Scheme

Science Behind It

A cone is a spatial triangle formed by a right angled triangle rotating around one of its right sides. The circular surface is called the bottom surface, the tip is called the vertex, the hypotenuse of a right angled triangle is called the generatrix of the cone, and the distance between the vertex and the bottom is called the height of the cone. Assuming the radius of the cone bottom is r and the height is h, its volume V=1/3 π r ² h. In space, the set of all points equidistant from a fixed point forms a sphere, and both the set of spheres and all points within it are a sphere. Let the radius of the sphere be r and the volume of the sphere be V=4 π r ³/3. source factory of science museum exhibits - Shanghai Inertia Automation Co., Ltd. The spatial geometric shape obtained by rotating one side of a rectangle 360 ° around the other side is called a cylinder. Assuming the radius of the bottom of the cylinder is r and the height is h, the volume V: V=π r ² h.

The volume of a cone that is equal in height to a cylinder is one-third of the volume of the cylinder.

The volume of a cylinder with the same radius and height as the bottom is three-quarters of the volume of a sphere with the same radius. The volume of a cone with the same radius and height as the bottom is one-quarter of the volume of a sphere with the same radius.

Exhibition items description

Set up liquid containers of different shapes, and participants rotate the containers to understand the volume relationship between cones and cylinders, spheres and cylinders, and cones and spheres through the flow direction of the fluid.

form of expression

Mechanical interaction

How to Operate

1. Participants rotate the liquid container

2. Compare and observe the volume relationships between cones and cylinders, spheres and cylinders, and cones and spheres

video demonstration