Calculating volume using cylindrical shells.

Question

anonymous · Answer

attachment

turingtest · Answer

have you made an attempt at the problem yet?

anonymous · Answer

very little I attempted to sketch the picture of this problem but the "k" is throwing me off. not sure how to go about it! :/

turingtest · Answer

|dw:1391468684076:dw|the two curves look something like this. have you found where they intersect?

anonymous · Answer

eek ok.. I'm going to take a guess with this. for the equation y^2=kx I divide by "k" to get the equation in terms of x= than set that equal to the other equation.. therefore (y^2/k)=(k/4) ??

turingtest · Answer

ok, now solve for y

anonymous · Answer

mkay, I got y=(k/2)

turingtest · Answer

+/-(k/2) is right but...
actually sorry, you don't really need that I guess. You just need the x value at which they intercept, which you can get by plugging that into y^2=kx, or just notice that the figure is bounded by the line x=k/4

turingtest · Answer

so let me try to sketch the revolution...

anonymous · Answer

ok! Thank you so much

turingtest · Answer

|dw:1391469185716:dw|so this is what our rings look like...