Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis.

x=2y^2 , y=1 ,x=0 about the y-axis

1 answer

Integrate pi*x^2*dy from y = 0 to y = 1

V = INTEGRAL 4 pi y^4 dy
....(0 to 1)
= (4/5)*pi