$1-8$ A solid aluminum cylinder $(k230\frac{W}{m}K)$ has a diameter of $3$ cm and a length of $10$

cm $.$ It is suspended by a thin wire in the room air. The cylinder has an internal electr$-$ic heater

which keeps the surface of the cylinder at $110$ C $.$ The room air is at $25$ C and the convective

coefficient between the cylinder and the room air is $15\frac{W}{m}2C.$ Assume that the heat flow

through the support wire is negligible and that radiation heat transfer is negligible due to the

very small emissivity of the surface of the cylinder. What is the heat flow $($W$)$ from the

cylinder to the room air?