# How do you find the volume of the solid with base region bounded by the curve #y=1-x^2# and the #x#-axis if cross sections perpendicular to the #y#-axis are squares?

##### 1 Answer

Sep 22, 2014

The volume is 2.

Let us look at some details.

By rewriting,

Since the length of the side of each cross sectional square is

Since the base spans from