A Styrofoam Cooler Has a Surface Area of 2,700 Cm² $^{\circ}$

A Styrofoam cooler has a surface area of 2,700 cm² and a wall thickness of 3.00 cm.Styrofoam has a coefficient of thermal conductivity of 0.010 W/m $^{\circ}$ C.A 2.00 kg block of ice is placed inside the cooler that has a temperature inside of 2 $^{\circ}$ C.When the temperature outside is 30.0 $^{\circ}$ C,the ice lasts for 8.00 hours.If the temperature outside becomes 20.0 $^{\circ}$ C,then how long will the ice last?

A) 20.3 hr
B) 18.5 hr
C) 12.4 hr
D) 10.1 hr
E) 8.5 hr