The temperature of your coffee is 50°C at t=0. How long will it take for the temperature to reach 35°C if the rate of heat loss from the surface is constant at 2500 W/m^2? Assume the cup has a diameter of 10 cm and a height of 20 cm. The area of the cup is π * radius^2. Assume the bottom and side walls are well-insulated (no heat transfer). Density is 1000 kg/m^3 and cp is 4.186 J/g/°C.