Question

Fill in the blank

a region r is revolved about the y-axis. the volume of the resulting solid could (in principle) be found by using the disk/washer method and integrating with respect to

Answer 1

When revolving a region R about the y-axis, we can find the volume of the resulting solid using the disk/washer method and integrating with respect to x.

Step-by-step explanation:

When revolving a region R about the y-axis, we can find the volume of the resulting solid using the disk/washer method. In this method, we integrate with respect to x. This is because when we rotate the region, the resulting solid will have disks or washers perpendicular to the x-axis. Integrating over x allows us to sum up the volumes of these disks or washers.