Find the volume of the following solid using the method of your choice:
The solid whose base is the region bounded by y=x2 and the line y=1 and whose cross sections perpendicular to the base and parallel to the x-axis are semicircles.
Answer: V= π/4
It says to use V= ∫ba A(y) dy.
But I don't even know what area i'm supposed to find to use.
I am struggling with this section of calculus as a whole. I've watched tons of youtube videos and examples, but I still mess up if they get even slightly complicated. So if you can explain the reasoning as to why you made choices, it would be really helpful to my understanding. If not, then steps are fine. Thank you so much.
Thank you for the reply.
I went back and checked the answer that the mymathlab program said and it still says π/4.
I will wait and see what others say. Thank you again
I just watched a video explaining cross sections with semi circles and after looking back at the way you solved this problem, it all just 'clicked' and made sense. Thank you very much to the both of you!