\\dm=\rho d(V)=\rho d(Ah)=\rho hd(A)=\rho hd(\pi r^2)=\rho \pi hd(r^2)\\I=\int_{0}^{R}r^2dm\\=\int_{0}^{R}r^2[\rho \pi hd(r^2)]\\=\rho \pi h\int_{0}^{R}r^2d(r^2)\\=\rho \pi h\left[\frac{1}{2}(r^2)^2\right]^R_0\\=\frac{1}{2}\rho \pi hR^4\\\rho =\frac{M}{V}=\frac{M}{\pi R^2 h}\\\therefore I =...