Volumes of Lines rotated

[yelloseaotter]

hey! SO im in AP Calculus and i need some help with this problem!
We have to find the volume of the shape created by the lines y=2x and y=2x^2 rotated around the y-axis from 0<x<1. I know once you find the specific equations using the correct area equation, you then integrate which i can do! I just need help finding the equations !THANKS SO MUCH

 

[tkhunny]

It always bothers me that a calculus student gets hung up on the geometry or algebra. There is a reason you studied that stuff. Did you forget?

y = x^2 is not a "line". This makes your title worry me. You really must pay better attention than that.

Did you find where the two relations intersect when drawn on the same coordinate axes? Where is x = x^2? That is where you need to start. Since you were given 0<x<1, I hope those endpoints are what you find for the two intersections. Otherwise it may be a little more complicated.

Setting up the integral is the part you are supposed to be learning. Let's see what you get.