Radioactive material, stored in a spherical vessel of diameter D = 3.5 m, is buried underground at

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Radioactive material, stored in a spherical vessel of diameter D = 3.5 m, is buried underground at a depth of 10 m. The radioactive material inside the vessel releases heat at a rate of 1000 W/m3. The surface temperature of the vessel is constant at 480°C and the thermal conductivity of the ground is 2 W/m ∙ K. When it snows in the winter, will the area directly above the spherical vessel be covered with snow?

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