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Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the curves [math] and [math] about the [math]-axis. Below is a graph of the bounded region.

 

Volume = 

 

Let [math] be the solid obtained by rotating the region bounded by the curves [math] and [math], with [math] about the [math]-axis. Use cylindrical shells to find the volume of [math].

Volume = 

Which of the following integrals represents the volume of the solid obtained by rotating the region bounded by the curves [math] and [math] about the line [math]







The region bounded by [math] and [math] is rotated about the line [math] Find the volume of the resulting solid by any method.

Volume = 

 

 

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