$\dot{Q}_{conv}=150-41.9-0=108.1W$
Solution:
(b) Not insulated:
$Nu_{D}=hD/k$
The convective heat transfer coefficient for a cylinder can be obtained from: $\dot{Q}_{conv}=150-41
Assuming $h=10W/m^{2}K$,
The heat transfer from the wire can also be calculated by: $\dot{Q}_{conv}=150-41