10.26** (a) Prove that in cylindrical polar coordinates a volume integral takes the form [ dV ƒ(r) = [ pdp [ dø [ dz ƒ (p, ø, z). (b) Show that the moment of inertia of the cone in Figure 10.6 pivoted at its tip and rotating about its axis is given by the integral (10.58), explaining clearly the limits of integration. Show that the integral evaluates to MR². (c) Prove also that Ixx M(R2+4h²) as in Equation (10.61).

Fig: 1