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 · °C, ρ = 10.500 kg/m3, cp = 0.235 kJ/kg · °C). Now all three of these geometries are e×posed to ambient air at 33°C on all of their surfaces with a heat transfer coefficient of 12 W/m2 · °C. Determine how long it will take for the temperature of each geometry to rise to 25°C.
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