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A $20$ $cm$ diameter cylindrical solid pellet of a nuclear fuel with density $6000\: kg/m^{3}$ and conductivity of  $300\:W/\left ( m\:K \right )$ generates heat by nuclear fission at a spatially uniform rate of  $10^{4}\:W/kg$. The heat from the fuel pellet is transferred to the surrounding coolant by convection such that the pellet wall temperature remains constant at  $300^{\circ}C$. Neglecting the axial and azimuthal dependence, the maximum temperature (in $^{\circ}C$) in the pellet at steady state is ________________ (rounded off to the nearest integer).
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