A potato may be approximated as a 5.7-cm-diameter solid sphere with the properties = 910 kg/m

A potato may be approximated as a 5.7-cm-diameter solid sphere with the properties ρ = 910 kg/m³, c_p = 4.25 kJ/kg·K, k = 0.68 W/m · K, and α = 1.76 × 10^-7 m²/s. Twelve such potatoes initially at 25ºC are to be cooked by placing them in an oven maintained at 250ºC with a heat transfer coefficient of 95 W/m² · K. The amount of heat transfer to the potatoes during a 30-min period is
(a) 77 kJ

(b) 483 kJ

(c) 927 kJ

(d) 970 kJ

(e) 1012 kJ