Finding volume of the solidThe region bounded by the curve y = x , the x-axis and the line x = 4 is revolved about y-axis to generate a solid. Find the volume of solid.I found 32 π / 5? But answer is wrong. Where did I wrong? Volume y = π ∫ 0 2 [ A ( y ) ] 2 d y = π ∫ 0 2 y 4 d y

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Finding volume of the solidThe region bounded by the curve   y  =      x  , the x-axis and the line   x  =  4 is revolved about y-axis to generate a solid. Find the volume of solid.I found   32  π      /    5? But answer is wrong. Where did I wrong?      Volume                 y        =  π      ∫    0    2    [  A  (  y  )      ]    2    d  y  =  π      ∫    0    2        y    4    d  y

Blaine Ross · Accepted Answer

Explanation:What you calculated is the solid generated by the area above the curve.So the correct answer should be   π  ⋅      4    2    ⋅  2  −  I where I is what you found.

The region bounded by the curve y=sqrt{x}, the x-axis and the line x=4 is revolved about y-axis to generate a solid. Find the volume of solid

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