Find the volume of the solid obtained by rotating the region enclosed by $$x = 3 y, \quad y^3 = x, \quad y\geq 0$$ about the y-axis using the method of disks or washers.

Volume = $\displaystyle\int$

=

Note: You can earn 5% for the upper limit of integration, 5% for the lower limit of integration, 40% for the integrand, and 50% for the finding the volume. If you find the correct volume, you will get full credit no matter what your other answers are.