# How do you find the volume of the solid with base region bounded by the curves #y=1-x^2# and #y=x^2-9# if cross sections perpendicular to the #x#-axis are squares?

##### 1 Answer

Nov 3, 2014

Since the length of a square cross-section can be expressed by

the area of the cross-section can be found by

Let us find the

Since the base of the solid spans from

by using the symmetry (even function),

I hope that this was helpful.