Volume of a square using cross section

mikaloveskero · May 23, 2012

Homework Statement

What is the volume if the area bounded by y=x^2 and y=9 and the cross sections are perpendicular to the y axis

I have no idea

DryRun · May 23, 2012

At least draw the graph and make an attempt. Take a picture of it or scan it or just draw it in some picture editor and attach it to your post.

mikaloveskero · May 23, 2012

I drew the picture and y=9 is the higher graph and y=x^2 is the lower graph. So from there do you do (9-x^2)^2 and take the integral from -3 to 3 ?

cjc0117 · May 23, 2012

The cross sections are perpendicular to the y-axis, not parallel. So the integral will be with respect to y, not x.