Question

Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by y=6x-x^2 and y=5 about x=1

Answer 1

On this to do you have to integrate with respect to y?

Answer 2

here is a blank set of axes

Answer 3

now here is the line y = 5 and the curve y = 6x - x^2

Answer 4

we want to spin this around the line x = 1, so we should get something like this



sry for the bad drawing, but hopefully you get the idea