Hi, how do I solve this question? Let R be the region that is bounded by the triangle with the vertices (0,0), (3, 0), and (1, 1). Find the volume of the solid generated by revolving the region R about the line x = 3. Thanks.
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Originally Posted by coldfire Hi, how do I solve this question? Let R be the region that is bounded by the triangle with the vertices (0,0), (3, 0), and (1, 1). Find the volume of the solid generated by revolving the region R about the line x = 3. Thanks. sketch a diagram ... region is bounded by the lines , , and rotating about the line x = 3, you can use cylindrical shells w/r to x (will require two integral expressions) or you can use disks w/r to y.
If I use disks, would the integral be: ?
Hi codfire Originally Posted by coldfire If I use disks, would the integral be: ? You need to consider the axis of rotation. It's rotated about x = 3, not x = 0. The formula : , where k is the axis of rotation. And you also need to see which curves cover the larger volume after rotated, is it or ?
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