CPM Homework Help : CALC3RD Problem 9-10

Use the washer method to calculate the volume of the solid generated by revolving the region bounded by $y = x^2$ and $y =\sqrt { x }$ about the $x$ -axis.

Hint:

Start by determining the points of intersection. The $x$ -values of the points of intersection will be the bounds of your integral (this is rotation about the $x$ -axis, so the width of the washers is $dx$ ).

More Help:

The general formula for the washer method is:

$V=\int_{a}^{b}\pi(R^2-r^2)dx$

Which function is the outer radius $R$ and which function is the inner radius $r$ ?