Question

Please help me find the volume of the solid generated when the region enclosed by the given curves is revolved about the x-axis using the shell method.
x=y^2 , y=1 , x=0

Answer 1

This is how I set-up the problem but I am not sure it is correct.
\[2\pi \int\limits_{0}^{1}y(y ^{1/2})dy\]