Find the volume of the solid obtained by rotating the region bounded by y=x and y=x√ about the line x=2.
Volume =
using cylinders,
v = ∫[0,1] 2πrh dx
where r = 2-x and h = √x - x
so,
v = ∫[0,1] 2π(2-x)(√x - x) dx = 8π/15
Volume =
v = ∫[0,1] 2πrh dx
where r = 2-x and h = √x - x
so,
v = ∫[0,1] 2π(2-x)(√x - x) dx = 8π/15