Answer:
Rate of loss of heat by any sphere, \[m\times c\times \left( -\frac{dT}{dt} \right)=\sigma A({{T}^{4}}-T_{0}^{4})\] Now \[\sigma ,A,({{T}^{4}}-T_{0}^{4})\] are same for both the spheres, so the rate of cooling, \[-\frac{dT}{dt}\propto \frac{1}{m}\] Since the hollow sphere has less mass, its rate of cooling will be faster.
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