Thread: Find the volume of the solid

Find the volume of the solid whose base is the region between the curve and y-axis from to , and whose cross sections taken perpendicular to the y-axis are squares.

I don't understand "whose cross sections taken perpendicular to y-axis are squares".

How can I solve this problem? If possible, would you please explain step by step?

Thank you very much.

Picture a bunch of squares stacked up perp.to the y-axis in your given region.

This is NOT a volume of revolution. Since we are perp to the y-axis we will integrate wrt y.



The area of a square is

So, we have