Barry the Polar Bear of Barrow Alaska spent his entire savings of $7000 on ice cream in preparation for a 90 day winter hibernation.

Barry the Polar Bear of Barrow Alaska spent his entire savings of $7000

on ice cream in preparation for a 90 day winter hibernation. If throughout

winter the outside temperature is −40◦C, and the ice hatch to his burrow

is 1 meter in diameter and 0.3 meters thick, what is the temperature at the

bottom of the ice hatch?