Use the method of cylindrical shells to find the volumeV generated by rotating the region bounded by the given curves about thedyy-axis.

My graph is the parabola y=5x^2 up to the line x=1 and rotated around y axis and makes a bowl-like shape

Formula for cylindrical shell:

integral from a to b (2pi(r)(height)dy

So I did integral from 0 to 1

Am I correct or am I doing something wrong?