解答:disk method 和 washer method (就是shell method 或 cylinder method), 是计算 revolving volume 的两种最常用的方法。disk method = 圆盘法 将旋转体按垂直于旋转轴(revolving axis), 切割成一片一片的薄片，薄片的体积为 dv = πy²dx = π[f(x)]²dx (revolving about x...
10. Use the disk/washer OR the shell method to find the volumes of the solids generated by revolving the region bounded by the graphs of the equations about the given line. Include a sketch of the graph of the regions. List which method ...
Find the volume of the solid generated by revolving the region bounded by x = 3\sqrt y, x = -3y \enspace and \enspace y =1 about the line y=1 . Use the shell or washer method. Find the volume of the solid generated ...