Applications of Integration:

Problem: 4B-2 Find the volume of the solid of revolution generated by rotating the regions
in 4B-1 around the y-axis.
PROBLEM e)

Solution: http://goo.gl/uSt4W (Problem e)

I can't seem to get my head around the integral.
I understand how we solved for y.
But what do the 2 parts in the integral represent?

Question

Applications of Integration:

Problem: 4B-2 Find the volume of the solid of revolution generated by rotating the regions
in 4B-1 around the y-axis.
PROBLEM e)

Solution: http://goo.gl/uSt4W (Problem e)

I can't seem to get my head around the integral.
I understand how we solved for y.
But what do the 2 parts in the integral represent?

anonymous · Answer

|dw:1350286654468:dw|

More specific:
In this case is $$\pi(1-\sqrt{1-y}^2$$
equal to Region A and
$$\pi(1+\sqrt{1-y}^2$$
equal to Region B?