Volume of Solids of Revolution

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Homework Statement


In Problems 1-5, let R be the region bounded by y√x =, y = 1, and x = 4. Each problem will describe a solid generated by rotating R about an axis. Write an integral expression that can be used to find the volume of the solid (do not evaluate).
I only need help with problem 2: The solid is generated by rotating R about the y-axis.

The Attempt at a Solution


I got V=pi∫[1,3](y^4-16)dy
My teacher says I got my bounds wrong? I'm not sure why she thinks that. I though [1,3] on the y-axis were the bounds for this equation.
 

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