I'm having a hard time with this, I'm getting (804pi)/5 which I'm sure is wildly inaccurate
which step is wrong?
x = (y+2)^3 + 1
new limits are 0 to 2
integrate:
2 pi (integral from 0 to 2){ ((y+2)^3 +1)(y) dy }
where y is the radius and (y+2)^3 +1 is the height
answer = (804pi)/5
there's a very similar question in the textbook with nearly the same numbers that comes out to like (81pi)/5 so I know I'm on the right track
would you mind doing another similar problem and reporting the answer you get?
if we both get the same answer, then I suppose the website is wrong and we're right.
obtain the volume using cylindrical shells of the following function when rotated about the x-axis
y=(x^(1/3)) -2
8<=x<=27