Use the disk or washer method to find the volume formed by rotating about the y-axis the region enclosed by:
x=3y and y^3=x with y≥0
Volume = π ∫[0,3] (3y)^2 dy
= π ∫[0,3] 9y^2 dy
= π [3y^3/3] |[0,3]
= π (27/3)
= 9π
x=3y and y^3=x with y≥0
= π ∫[0,3] 9y^2 dy
= π [3y^3/3] |[0,3]
= π (27/3)
= 9π