Question

Volume: The region between the graphs

x=y^2
x=3 y
rotate around y=3. Find volume

Answer 1

is it x=3 or x=3y ??

Answer 2

x=3y

Answer 3

outer radius is 3-(1/3)x
inner radius is 3-sqrt(x)

\[V=\pi \int\limits_{0}^{9}(3-\frac{x}{3})^{2} - (3-\sqrt{x})^{2} dx\]

Answer 4

thank u!