浅谈Guldin定理在两种坐标系下的应用

Briefly Discussion on the Application of Guldin's Theorem in Two-coordinate Systems

文章用实例说明Guldin定理在解决旋转体体积和侧面积问题上的作用,并应用Guldin定理推导极坐标下旋转体体积和旋转面面积的计算公式.

This paper uses examples to illustrate the role of Guldins theorem in solving the problems of volume of revolution and area of side surface of revolution,and uses Guldins theorem to derive formulas for volume of revolution and area of surface of revolution in polar coordinates.