求旋转体体积的一种新方法  

A new method of calculating the volume of rotating object

作　　者：节存来[1] 

机构地区：[1]河北工业职业技术学院基础部,河北石家庄050091

出　　处：《河北农业大学学报》2004年第5期117-119,共3页Journal of Hebei Agricultural University

摘　　要：利用通常的方法求旋转体的体积是相当繁琐的,本方法由重积分微元法推导出一个求旋转体体积的新公式,并给出了它的几何解释,该公式将旋转体的体积与生成旋转体的平面图形的重心联系起来,使计算简便直观。Using the ordinary methods to calculate the volume of rotating object is quite complicated.In this paper,a new formula of calculating the volume of rotating object is obtained on the basis of the method of double integral element,and then the geometrical interpretation of the formula is given.The formula combines the volume of rotating object with the center of gravity of the plane figure creating the rotating object and it is simple and convenient to use.

关 键 词：旋转体 体积 重心 

分 类 号：O172.2[理学—数学]