You are conducting an experiment where you are cooling a uniformly heated aluminum sphere with an initial temperature of 100 °C in a water bath. The water bath is sufficiently

large such that its temperature is kept constant at 25 °C. Your job is to determine the time-dependent temperature profile of the aluminum sphere. Relevant physical properties are as follows: Heat capacity of water:4184 J/kg-K Heat transfer coefficient of water:500 W/m2·K Thermal conductivity of aluminum:206W/m-K Density of aluminum:kg/m32700 Mass of the aluminum sphere:0.5 kg Tasks:Using MATLAB's pdepe function, find a numerical solution for this heat dissipation.the resulting solution array of time vs radial distance using image sc. Be sure to use the appropriate range of time and distance to capture the region of interest.Plot