Consider a cubic block whose sides are 5 cm long and a cylindrical block whose height and diameter are also 5 cm . Both blocks are initially at $20^{\circ} \mathrm{C}$ and are made of granite ( $k=2.5 \mathrm{~W} / \mathrm{m} \cdot{ }^{\circ} \mathrm{C}$ and $\alpha=1.15 \times 10^{-6} \mathrm{~m}^2 / \mathrm{s}$ ). Now both blocks are exposed to hot gases at $500^{\circ} \mathrm{C}$ in a furnace on all of their surfaces with a heat transfer coefficient of $40 \mathrm{~W} / \mathrm{m}^2 \cdot{ }^{\circ} \mathrm{C}$. Determine the center temperature of each geometry after 10 , 20 , and 60 min .