calculus geometry?

Question

The region between the graphs of y=x^2 and y=3 x is rotated around the line x=3.
The volume of the resulting solid is ???????

Answer 1

x^2=3x
x(x-3)=0
x1=0
x2=3

Volume = 1/3 pi 3^2 *9 --pi integral (x^2)^2 dx