Answer
$14\pi$
Work Step by Step
If y=0, then x=1, x=3, so that a=1, b=3. The volume is
$V=\int^{3}_{1}\pi(\sqrt x +5)^{2}dx=\pi[\frac{(x+5)^{2}}{2}]^{3}_{1}=14\pi$
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