Question

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis: y=x^2, y=0, x=2 about the y axis

Answer 1

use shell method:
V = 2pi ∫(radius) (height)
V = 2pi ∫(x) (x²) dx
V = 2pi ∫x^3 dx
V = (pi/2)x^4 (evaluate from 0 to 2)
V = pi/8

Answer 2

I meant *8pi*