A copper pipe with an outer radius of 0.014 m runs from an outdoor wall faucet into the interior of a house. The temperature of the faucet is 3.8° C and the temperature of the pipe, at 3.3 m from the faucet, is 26° C. In seventeen minutes, the pipe conducts a total of 257 J of heat to the outdoor faucet from the house interior. Find the inner radius of the pipe. Ignore any water inside the pipe.f