Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the y-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 dy
Am I correct or am I doing something wrong?