Let S be the region in the first quadrant bounded by the graphs of and Region S is the base of a solid whose cross sections perpendicular to the x-axis are squares. Find the volume of the solid.

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- Feb 2nd 2008, 01:13 AMCursedVolume by revolution
Let S be the region in the first quadrant bounded by the graphs of and Region S is the base of a solid whose cross sections perpendicular to the x-axis are squares. Find the volume of the solid.

- Feb 2nd 2008, 04:11 AMcurvature
- Feb 2nd 2008, 04:16 AMgalactus
This is not a revolution problem. The cross sections are perp. to the x-axis, so it looks like we integrate wrt x by using the area of the squares.

Since the cross-sections are perp. to the x-axis, then the squares will have base width y and area y^2.

But

So, we need