Question

when finding the volume of a solid by rotating around a function around an axis, how do you know when to use the method of washers/rings, or shells/cylinders?

Answer 1

Depends on question. Post one of questions you are not sure about.

Answer 2

A region R is enclosed by y=x^3 y=1 and x=0. Find the area of the solid made when R is revolved around y=2

Answer 3

I guess what I am asking is can you use either shells or rings on an equation as long as you rewrite the original function in terms of x or y so it can fit into the integral correctly?

Answer 4

Looking at my old class notes; we were taught thoroughly each method; and then are instructors would specifically ask us to do one method or other. Either one you prefer; if I remember correctly the washer method was simpler.