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Consider a hollow steel sphere of inside radius r1=10cm and outside radius r2=20cm. The thermal conductivity of the steel is k=10 W/mk.

Consider a hollow steel sphere of inside radius r1=10cm and outside radius r2=20cm. The thermal conductivity of the steel is k=10 W/mk. The inside surface is maintained at a uniform temperature of T1=230C and the outside surface dissipates heat by convection with a heat transfer coefficient of h=20 W/(m squared)k into air at T(infinity)=30C. Determine the thickness of insulation (ki=0.5 W/mK) required to reduce the heat loss by 50%.
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