Someone with Calculus background look at my question

Find the volumes of the solids generated by revolving the regions bounded by the lines and curves y=x^3, y=0 , x=2

Question

Someone with Calculus background look at my question

Find the volumes of the solids generated by revolving the regions bounded by the lines and curves y=x^3, y=0 , x=2

anonymous · Answer

i have solved this will you please look at my solution

turingtest · Answer

revolved about what?

anonymous · Answer

attachment

anonymous · Answer

i think both axis

anonymous · Answer

i am not sure about 2nd part and i guess i might have made a mistake

anonymous · Answer

your correction will be highly appreciated

turingtest · Answer

first is right, let me see the second...

turingtest · Answer

you need to subtract the area of each disk for the second (about the y-axis) so it should be$$\pi\int_{0}^{8}2^2-[f(y)]^2dy$$because the outer radius is x=2. I think...
let me do shell method to double-check

anonymous · Answer

if you can paste the solution steps of 2nd part that will be of great help to understand, what i did wrong

turingtest · Answer

yes my formula is correct....
hold on I'll explain

anonymous · Answer

thank you

turingtest · Answer

|dw:1326743569910:dw|ok, about the y-axis with disk method...