Question

# Find the volume of the solid obtained by rotating the region bounded by the given curves...

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis.

only area A given in first figure is bounded by given 4 lines

now you need to rotate it about y=-6

you can see around this line outer circle has radius 6+cos8x

and inner circle has radius 6

roatating this will have the area as difference

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