Chapter 5.3, Problem 27P

In Problems 17 to 30, for the curve $y=\sqrt{x}$, between $x=0$ and $x=2$, find 24, 25, 26, 27. The moments of inertia about the x axis of a lamina in the shape of the plane area under the curve; of a wire bent along the arc of the curve; of the solid of revolution; and of a thin shell whose shape is the curved surface of the solid (assuming constant density for all these problems).