文[1]讨论了“圆柱容球”、“圆台容球”和“圆锥容球”等常见旋转体的一个有趣共性,归纳如下共同性质:球与其外切圆柱、外切圆台、外切圆锥表面积之比等于体积之比.文[2]讨论了“多面体容球”的一个有趣共性,即球与其外切多面体的表面积之比等于体积之比.并猜想对于“任意几何体容球”也有此性质. In [1], we discussed an interesting commonality of common rotating bodies, such as “cylindrical spheres,” “circular spheres,” and “cone spheres,” and summarized the following common properties: the sphere and its outer cylinder, The ratio of the surface area of ​​the tangent cone and the outer cone is equal to the ratio of the volume. An interesting commonality of the “polyhedron volume” is discussed in [2]. That is, the ratio of the surface area of ​​the sphere to its circumscribed polyhedron is equal to the ratio of the volume. “Arbitrary Geometry Ball” also has this property.