Answer
$=\frac{3124\pi}{5} $
Work Step by Step
If y=0, then x=1, x=5, so that a=1, b=5. The volume is
$V=\int^{5}_{1}\pi(x^{2})^{2}dx=\pi\frac{x^{5}}{5}|^{5}_{1} =\frac{3124\pi}{5} $
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