Answer
$24$
Work Step by Step
Because $\sqrt 2\lt5\sqrt 2$, by Equation (2): $\int_{\sqrt 2}^{5\sqrt 2} r dr=\frac{(5\sqrt 2)^2}{2}-\frac{(\sqrt 2)^2}{2}=\frac{50}{2}-\frac{2}{2}=\frac{48}{2}=24$
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