A potato that may be approximated as a 5.7-cm solid sphere with the properties = 910

A potato that may be approximated as a 5.7-cm 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 25°C are to be cooked by placing them in an oven maintained at 250°C with a heat transfer coefficient of 95 W/m² · K. The amount of heat transfer to the potatoes by the time the center temperature reaches 100°C is
(a) 56 kJ

(b) 666 kJ

(c) 838 kJ

(d) 940 kJ

(e) 1088 kJ