A copper pipe with an outer radius of 0.013 m runs from an outdoorwall faucet into the interior of a house. The temperature ofthe faucet is 4.0oC, and the temperature of the pipe, at3.0 m from the faucet, is 25oC. In fifteenminutes, the pipe conducts a total of 270 J of heat to the outdoorfaucet from the house interior. Find the inner radius of the pipe. Ignore any water inside the pipe.