Answer:
Option b
Step-by-step explanation:
The intersection of the given curve with x axis are
when y =0
i.e. when
[tex]-x^2 + 2x=0\\x=0,2[/tex]
Since rotated about y axis we use method of cylinders
Volume = [tex]\int\limits^2_0 {2\pi xy} \, dx \\=2\pi \int\limits^2_0 x(-x^2+2x)dx\\= 2\pi(\frac{-x^3}{3} +x^2)\\= \frac{8\pi}{3}[/tex]
option b is right
