• anonymous
Is this correct? (+1 medal will be given) Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis. (x - 3) = (y − 7)$$^2$$, x = 19 A: $$y = 7\pm \sqrt{(19)-3} = 3 or 11$$, therefore: $\huge\int\limits_3^{11} (2 \pi)(y)(3 + (y − 7)^2) dy = \frac{2800 \pi}{3}$ Graph below:
Mathematics

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