A short aluminum cylinder \(2.5 \mathrm{~cm}\) in diameter and \(5 \mathrm{~cm}\) long is initially at a uniform temperature of \(100^{\circ} \mathrm{C}\). It is suddenly subjected to a convection environment at \(50{ }^{\circ} \mathrm{C}\) and \(h=400 \mathrm{~W} / \mathrm{m}^{2 \circ} \mathrm{C}\). Calculate the temperature at a distance of \(0.5 \mathrm{~cm}\) from one end of the cylinder 10 seconds after exposure to the environment.