- #1

JJ99

- 1

- 0

**Find the volume of the solid formed when the region bounded by the curves y=x**

^{3}, y=1, and x=0 is rotated about the y-axis, use washer AND shell methodsDisc/Washer:

**Ωx**

Volume:

V = 0∫1 Ωy

^{2}dy = Ω(y^{1/3})^{2}dy = Ωy^{2/3}dyVolume:

V = 0∫1 Ωy

^{2/3}dy = Ω{(3y^{5/3})/5} = 3Ω/5Shell:

**2Ωy(x)dx = 2Ωx(x**

Volume:

V = 0∫1 2Ωx

^{3})dx = 2Ωx^{4}dxVolume:

V = 0∫1 2Ωx

^{4}dx = 2Ω{(x^{5})/5} = 2Ω/5Obviously this question seems simple enough but I'm finding different answers so I'm going wrong somewhere. Any help is appreciated