As part of their heat transfer project Lucy, Diana and Pablo have decided to design the best thermal mug on the market. For this they decided that their cup will have a height of 30 cm and a total volume of 1 liter. The internal part of the cup will be made of aluminum and in order to make your project sustainable it will have a cover of 1 centimeter of sawdust to prevent heat loss. Finally, it will have a 0.5 cm aluminum cover to make the design more aesthetic. Considering that the convection coefficient for the inner surface of the bowl is estimated at hi= 950 btu/h ft2 F, and the convection coefficient on the outside of the liner is estimated at ho = 13btu/h ft2 F. Calculate the heat loss in this cup considering coffee was placed at 95 C and the room temperature is 30 C.