Question

The region R in the first quadrant is enclosed by the lines x=0, y=5 and the graph of y = x^2+1. What is the volume of the solid generated when R is revolved about the y-axis?

Answer 1

I am trying to use shell method but I seem to not get the right answer. Please help.

Answer 2

what's your answer?

Answer 3

My answer was in the 3000's
Its nowhere near any of the multiple choice answers. Should I just use disk/washer method instead?

Answer 4

ok. since you wanted shell method we'll do that...

Answer 5

my equation I have made so far was 2\[2\pi \int\limits_{1}^{5} [(y)(\sqrt{y}-1)]dy\]