A \(D=100 \mathrm{~mm}\) diameter solid sphere, initially at a uniform temperature of \(T_{i}=50^{\circ} \mathrm{C}\), is placed in a flowing fluid at \(T_{\infty}=20^{\circ} \mathrm{C}\). The sphere properties are \(k=\) \(2 \mathrm{~W} / \mathrm{m} \cdot \mathrm{K}, ho=2500 \mathrm{~kg} / \mathrm{m}^{3}\), and \(c_{p}=750 \mathrm{~J} / \mathrm{kg} \cdot \mathrm{K}\). The convection heat transfer coefficient is \(h=30 \mathrm{~W} / \mathrm{m}^{2} \cdot \mathrm{K}\). At what time does the sphere's surface temperature reach \(26^{\circ} \mathrm{C}\) ? How much energy has been transferred from the sphere at this time?