A 50-cm-diameter spherical tank is filled with iced water at 0ºC. The tank is thin-shelled and its temperature can be taken to be the same as the ice temperature. The tank is exposed to ambient air at 20ºC with a heat transfer coefficient of 12 W/m2•ºC. The tank is to be covered with glass wool insulation (k = 0.05 W/m•ºC) to decrease the heat gain to the iced water by 90 percent. The required thickness of the insulation is
(a) 4.6 cm
(b) 6.7 cm
(c) 8.3 cm
(d) 25.0 cm
(e) 29.6 cm
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