The discussion revolves around finding the volume of a solid formed by rotating a region bounded by specific curves about the x-axis using the method of cylindrical shells. The curves involved are x = (y^2) + 1, x = 0, and the horizontal lines y = 1 and y = 2.
The discussion is ongoing, with participants exploring different aspects of the problem, including the setup of the integral and the geometric interpretation of the volume. Some guidance has been offered regarding sketching the region and the solid, but no consensus has been reached on the specifics of the radius and width of the strips.
Participants are working within the constraints of a homework assignment, which may limit the information they can provide or the methods they can use. There is an emphasis on understanding the geometric aspects of the problem, particularly in relation to the cylindrical shells method.
silverbell said:Homework Statement
Using cylindrical shells, find the volume obtained by rotating the region bounded by the given curves about the x-axis.
x= (y^2) +1
x= 0
y=1
y=2
Homework Equations
2∏ ∫ rh
The Attempt at a Solution
2∏ ∫ from 1 to 2 (y^2) + 1
I'm not sure where to go from here. :S Please help.