A solid cylinder 100 mm in diameter generates heat at a uniform rate of 7 x 106 W/m3. The thermal conductivity of the solid is 190 W/m-K and its surface temperature is maintained at 100 °C. Calculate the:
a. Temperature in °C at the center of the cylinder.
b. Temperature in °C at a distance of 25 mm from the center.
c. Temperature gradient (dT/dr) at a radius of 25 mm.
d. Heat flux (q/A) in kW/m2 at the outer surface.