The base of a solid in the xy-plane is a circle with a radius of 3. cross sections of the solid perpendicular to the x-axis are squares. set up the integral to arrive at the volume of the solid and solve.

Step-by-step explanation:

1. Set up the integral.

The equation for the circle is

x² + y² = 9

The bottom corners of the square are at  

The length (a) of a side is

and the area (A) of the square cross-section is

A = a² = 4(9 - x²)

The volume (V) of the solid is

2. Solve the integral

$8

step-by-step explanation:

it is pretty much backwards.

you take the 4x2 multiply that, and that is = $8

x/3-10=8

x/3=18

x=48