(c)Dental filling materials can readily experience a temperature differential on the order of 50C in normal daily function. (Consider the consumption of a cold or hot beverage). Also consider a dental filling material that is cylindrical in shape as shown in the figure below. If this dental filling is 2 mm in diameter and 4 mm in length, what is the expected volumetric expansion for a filling material made of alumina with a thermal expansion Qaumina = 8.5 x 10 /C? How does this compare to dental fillings made with resin, 0esin = 85 x 10 /C and gold alloy, Qgoid aioy = 14 x 10 /C? Assume a temperature change of 50 C and the dental filling is assumed to deform isotropically. The thermal expansion coefficient for enamel is 8 x 10 /C. The elastic modulus for alumina is 400 GPa, for the resin is 2.5 GPa and for the gold alloy is 95 GPa. Calculate the one-dimensional forces owing to these thermal expansions. Comment on the result of your calculations. 6 points Filling material ,-..' -'_\\. T b l\\l J N j Dentin Cementum Periodontal membrane L \\orve and % blood supply