It is often argued that the head is the most important part of the body to cover when out in cold weather. Estimate the total energy loss by radiation if a person$$s head is uncovered for $19\mathrm{.}0$ min on a very cold, $15\mathrm{.}0$C day, assuming he is bald, his skin temperature is $35\mathrm{.}0$C$,$ and that skin has an emissivity $($in the infrared$)$ of $97\mathrm{.}0\%.$ Assume that the man$$s head is spherical, with a radius of $10\mathrm{.}0$ cm$.$The$$Stefan$$Boltzmann constant is $5\mathrm{.}670108$W$/($m$2$K$4).$

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