关于一类旋转体的表面积与体积的猜想

One Conjecture of Superficial Area and Volume in Some Solid of Rotation

证明了正三角形、正方形、正五边形、正六边形绕任一边旋转所得旋转体的表面积和体积满足的统一规律性,并给出了正n边形绕任一边旋转和圆绕任一条切线旋转所得旋转体的表面积和体积的猜想.

In this paper,we proved a law of superficial area and volume in solid of rotation which rotated by a regular triangle、a square、a regular pentagon or a regular hexagon around any certain side.In addition,the author obtained two conjectures about superficial area and volume of some solid of rotation which rotated by Regular n-gon or circle.