Refer to the figure and find the volume V generated by rotating the given region about the specified line.

Question

anonymous · Answer

attachment

anonymous · Answer

I got 77pi/6
Can someone check my work? I'll give a medal! Thanks!.. These rotation of solids are still confusing to me..

anonymous · Answer

what region are you rotating and about what line?  the picture only shows the regions...

anonymous · Answer

oh sorry. about the Y axis ( about OC )

anonymous · Answer

ok... which region are you rotating about the y-axs? is it R3 ???

anonymous · Answer

Yes

anonymous · Answer

ok... i'll check... hang on...

anonymous · Answer

Thanks!

anonymous · Answer

i'll be right back, thanks for your help. I always award medals for help! :)

anonymous · Answer

hmmm... when i use the shell-method, i get:  2pi/3
but when i use the disc-method, i get:  2pi/5

lemme double check...

anonymous · Answer

ok... i verified it... both methods are giving me 2pi/3

anonymous · Answer

can you show your steps? please? :)

tkhunny · Answer

@student1988   Please show your integrals.  What method did you use and what did you create to be solved.