The region is you have specified is not bounded. Are you sure you copied it down right?
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?
Sorry, I am not sure. I though the bounds are 0 and 1 since y=0 and x=1 but I guess that is incorrect.
I solved y=5x^2 for x and got x= sqrt(y/5) but I am not sure where to go from there.
formula for cylindrical is: integral a to b 2pi(radius)heightdy
I am thinking the height is sqrt(y/5)? or do I have to subtract from the line x=1? Im a little perplexed with this problem.