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    Question:Find the volume generated when the region bounded by the curve y=x^2, the x-axis and the line x=2, is rotated through 180 degrees about the line x=3.

    I've found that the line x=2 and the curve cross at (2,4) so my limits are 4 and 0. How would I form an equation to find the volume using pi ∫ x^2 dy to find the volume? Can x=a even be written as a function of y?




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    (Original post by Mr Pussyfoot)
    Question:Find the volume generated when the region bounded by the curve y=x^2, the x-axis and the line x=2, is rotated through 180 degrees about the line x=3.

    I've found that the line x=2 and the curve cross at (2,4) so my limits are 4 and 0. How would I form an equation to find the volume using pi ∫ x^2 dy to find the volume? Can x=a even be written as a function of y?
    Since you're rotating about x=3, if you translate the curve then you're rotating about the y-axis. So you need to find things as a function of x, not as a function of y.
 
 
 
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Updated: July 23, 2016
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