Consider a sphere of diameter 5 cm, a cube of side length 5 cm, and a rectangular prism of dimension 4 cm × 5 cm × 6 cm, all initially at 0°C and all made of silver (k = 429 W/m·K, ρ = 10,500 kg/m3, cp = 0.235 kJ/kg·K). Now all three of these geometries are exposed to ambient air at 33°C on all of their surfaces with a heat transfer coefficient of 12 W/m2·K. Determine how long it will take for the temperature of each geometry to rise to 25°C.
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