# Math Help - Volume Problem

1. ## Volume Problem

The solid lies between planes perpendicular to the y-axis at y=0 and y=2. The cross sections perpendicular to the y-axis are circular disks with diameters running from the y-axis to the parabola $x = \sqrt{5}*y^2$

So I honestly do not have a single clue as to what to do. My teacher decided to briefly skim this section. Help please?

Edit: Nevermind, I think I got it. I let the area = pi(r^2) and r = rt (5)/2 * y^2

2. It actually goes like this

since its getting rotated around the y axis- u need to find x^2

from the equation x= root5 y^2
we get x^2 = 5y^4

now just preform this following integral 5pi S from2 to 0 (y^4)

and the when you evaulte the integral u should get the answer.,